Title: Volume of a Prism
Course: quiz duplicate error

The block labeled letter A is a cube with dimensions 3 centimeters by 3 centimeters by 3 centimeters.
[Image]

Refer to the information above. What is the surface area, in square centimeters, of the block labeled A?

Q: In the rectangular prism below, what does quadrilateral CDHG represent?
[Image]
- edge (In the rectangular prism, quadrilateral CDHG represents a face.)
- vertex (In the rectangular prism, quadrilateral CDHG represents a face.)
- base (In the rectangular prism, quadrilateral CDHG represents a face.)
- face (In the rectangular prism, quadrilateral CDHG represents a face.)
A: face

Each unit on the isometric drawing represents 3 centimeter(s).
[Image]
What is the actual surface area of the rectangular prism, in square centimeters?

The block labeled letter A is a cube with dimensions 3 centimeters by 3 centimeters by 3 centimeters.
[Image]

Refer to the information above. What is the volume, in cubic centimeters, of the block labeled A?

Beth’s dresser is shaped like a rectangular prism with the dimensions shown below. What is the volume, in cubic feet, of the dresser? Write out your steps.
[Image]

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.

[Image]
- 446 ft^ [Image]
- 623 ft^ [Image]
- 639 ft^ [Image]
- 630 ft^ [Image]
A: 630 ft^ [Image]

Q: Lisa is assembling boxes and painting them so that they can be used as props in the school play. When the following box is assembled, what will its volume be?
[Image]
- 55 cubic inches (Use the formula for the volume of a prism. The base of the box is 5 inches by 3 inches, and the height is 3 inches. [Image])
- 15 cubic inches (Use the formula for the volume of a prism. The base of the box is 5 inches by 3 inches, and the height is 3 inches. [Image])
- 78 cubic inches (Use the formula for the volume of a prism. The base of the box is 5 inches by 3 inches, and the height is 3 inches. [Image])
- 45 cubic inches (Use the formula for the volume of a prism. The base of the box is 5 inches by 3 inches, and the height is 3 inches. [Image])
A: 45 cubic inches

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.

[Image]
- 17 m^ [Image]
- 34 m^ [Image]
- 8.5 m^ [Image]
- 1 m^ [Image]
A: 17 m^ [Image]

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.

[Image]
- 308 ft^ [Image]
- 301 ft^ [Image]
- 298 ft^ [Image]
- 312 ft^ [Image]
A: 308 ft^ [Image]

Q: When folded along the dotted lines, the net shown below will form a rectangular prism. What is the volume, in cubic units, of the prism?
[Image]
- 16 cubic units (After being folded, the dimensions of the prism will be 4 units by 2 units by 10 units. So the volume will be [Image])
- 136 cubic units (After being folded, the dimensions of the prism will be 4 units by 2 units by 10 units. So the volume will be [Image])
- 80 cubic units (After being folded, the dimensions of the prism will be 4 units by 2 units by 10 units. So the volume will be [Image])
- 1,000 cubic units (After being folded, the dimensions of the prism will be 4 units by 2 units by 10 units. So the volume will be [Image])
A: 80 cubic units

Q: What is the surface area of the rectangular prism?
[Image]
- 126 square centimeters (Use the formula for the surface area of a rectangular prism. [Image])
- 63 square centimeters (Use the formula for the surface area of a rectangular prism. [Image])
- 90 square centimeters (Use the formula for the surface area of a rectangular prism. [Image])
- 171 square centimeters (Use the formula for the surface area of a rectangular prism. [Image])
A: 126 square centimeters

Q: Find the volume of the given prism. Round to the nearest tenth if necessary.

[Image]
- 2143.4 yd^ [Image]
- 1750.1 yd^ [Image]
- 4286.8 yd^ [Image]
- 2475.0 yd^ [Image]
A: 2143.4 yd^ [Image]

Q: Lisa is using a geometry software program to draw three-dimensional scale models. If each unit on the isometric drawing below represents 7 feet, what is the actual volume of the prism?
[Image]
- 210 cubic feet (The isometric prism has dimensions 3 units by 5 units by 2 units. Since each unit represent 7 feet, the actual dimensions are [Image] feet, [Image] feet, and [Image] feet. So the volume is [Image] cubic feet.)
- 30 cubic feet (The isometric prism has dimensions 3 units by 5 units by 2 units. Since each unit represent 7 feet, the actual dimensions are [Image] feet, [Image] feet, and [Image] feet. So the volume is [Image] cubic feet.)
- 5,145 cubic feet (The isometric prism has dimensions 3 units by 5 units by 2 units. Since each unit represent 7 feet, the actual dimensions are [Image] feet, [Image] feet, and [Image] feet. So the volume is [Image] cubic feet.)
- 10,290 cubic feet (The isometric prism has dimensions 3 units by 5 units by 2 units. Since each unit represent 7 feet, the actual dimensions are [Image] feet, [Image] feet, and [Image] feet. So the volume is [Image] cubic feet.)
A: 10,290 cubic feet

Q: This candy box is a triangular prism. It has the measurements shown. The surface area of the box is 231 cm^2. What is the height of the box? Write an equation that will help you solve this problem.

[Image]
- 2(3.5h / 2) + 3(21)(3.5) = 231
- 2(3.5h) + 3(21)(3.5) = 231 (Remember that triangle area is half the area of a parallelogram.)
- 3(21)(3.5)h = 231 (Remember that surface area is adding up the areas of all the sides.)
- 21(3.5h / 2) = 231 (Remember that surface area is adding up the areas of all the sides.)
A: 2(3.5h / 2) + 3(21)(3.5) = 231

Q: This candy box is a triangular prism. It has the measurements shown. The surface area of the box is 231 cm^2. What is the height of the box? Solve.

[Image]
A: 3

Q: Reynaldo needs to repaint the rectangular pool in his backyard. The pool measures 55 feet long, 28 feet wide, and 9 feet deep. How many square feet will he need to paint?

(Hint: he won't paint the top of the pool)
- 3034 ft^2 (Great job!)
- 4574 ft^2 (You counted the top of the pool. He isn't going to paint the top.)
- 2287 ft^2 (Did you count all the sides of the pool?)
- 1494 ft^2 (He will need to paint the bottom of the pool.)
A: 3034 ft^2

Q: Find the volume of this trapezoidal prism:

[Image: Trapezoidal Prism; bases 4 ft and 7ft, height 6 ft, depth 3 ft]
- 504 ft^3 (Incorrect. Check the formula for the area of a trapezoid.)
- 120 ft^3 (Incorrect. The bases of the trapezoid are 7 ft and 4 ft.)
- 99 ft^3 (Excellent work!)
- 198 ft^3 (Incorrect. A trapezoid is half of a parallelogram.)
A: 99 ft^3

Q: Now that Reynaldo has finished painting his pool, he needs to fill it with water.  The pool measures 55 feet long, 28 feet wide, and 9 feet deep. What is the volume of Reynaldo's pool?
- 3034 ft^2 (We are looking for volume in this problem, not surface area.)
- 12,4740 ft^3 (That seems like too much. Did you multiply by one of the numbers twice?)
- 13,860 ft^3
- 1540 ft^2 (To get the volume, multiply the area of the base times the height.)
A: 13,860 ft^3

Q: What is the volume of this candy box?

[Image: triangular prism: depth 21 cm, triangle base 3.5 cm, triangle height 3 cm]
- 220.5 in^3 (Incorrect. The base is a triangle, not a rectangle.)
- 110.25 in^3 (Well done!)
- 42 in^3 (Remember the volume of a prism is the area of the base times the height of the prism.)
- 63 in^3 (You need to find the area of the triangular base and multiply it to the height of the prism.)
A: 110.25 in^3

Q: The volume of the following prism is 540 ft^3. Write an equation to find the missing edge length, w.

[Image: Missing width in rectangular prism; length 10 feet, height 9 feet]
- 9(10w) = 540
- 540 - 9 - 10 = w (Remember that volume of a prism is the area of the base times the height.)
- 9(10) = 540w (Remember that volume of a prism is the area of the base times the height.)
- 9(10w) / 2 = 540 (The area of a rectangle is just length times width. You don't need to divide it by 2.)
A: 9(10w) = 540

Q: The volume of the following prism is 540 ft^3. What is the missing width? Don't forget the unit on your answer.

[Image: Missing width; length 10 feet, height 9 feet]
A: 6

Q: The volume of the triangular prism below is 50 m^3. Write an equation to find the missing edge length, b.

[Image: Missing triangle base length on triangular prism; triangle height 4 m, prism height 10 m]
- 10(4b) = 50 (The area of a triangle is half the base times the height.)
- 10(4b / 2) = 50 (That will work!)
- 50 - 10 - 4 = b (Remember the volume of a prism is the area of the base times the height.)
- 50 (10b / 2) = 4 (Remember the volume of a prism equals the area of the base times the height.)
A: 10(4b / 2) = 50

Q: The volume of the triangular prism below is 50 m^3. What is the length of the base of the triangle? Don't forget to write the unit.

[Image: missing triangle base length; triangle height 4 meters, prism height 10 meters]
A: 2.5

Q: The volume of the following prism is 980 cubic centimeters. Write an equation to find the missing edge length, x.

[Image: Missing prism height; base length 40 cm, width 3.5 cm]
- (40)(3.5)x = 980
- 980 = x + 40(3.5) (Remember that volume of a prism is the area of the base times the height.)
- 3.5= 980x - 40 (Remember that volume of a prism is the area of the base times the height.)
- (40)(3.5)x / 2= 980 (The area of a rectangle is just length times width.)
A: (40)(3.5)x = 980

Q: The volume of the following prism is 980 cubic centimeters. What is the missing height? Don't forget to write the unit.

[Image: missing height; width 3.5 centimeters, length 40 centimeters]
A: 7

Q: You are creating a wooden box. The box has a square base with a side length of 1.5 feet. How tall do you need to make the box so that it can hold a volume of 9 cubic feet of birdseed?
A: 4

Q: The Berryville Aquarium has a shark tank in the shapeof a triangular prism. There is only one shark in the tank, so right now the tank is only 2/3 full.  How many cubic feet of water are in the tank?

[Image: triangular prism shark tank; triangle base length 120 ft, triangle height 80 ft, height of tank 100 ft]
http://www.ck12.org/saythanks
- 320,000 ft^3 of water (Great job!)
- 480,000 ft^3 of water (Incorrect. The tank is only 2/3 full of water.)
- 160,000 ft^3 of water (incorrect. Check how you calculated the 2/3 of the tank.)
- 640,000 ft^3 of water (Remember the area of a triangle is half the base times the height.)
A: 320,000 ft^3 of water

Q: I am making rectangular bricks out of snow that are 1 foot long, 1/2 foot wide, and 1/2 foot deep. How many bricks can I make with 490 cubic feet of snow?
A: 1960
Feedback ("980"): You should multiply 1(0.5)(0.5) for the volume of one brick.
  Hint: Find the volume of one brick, and then divide 490 by that volume.

Q: I am making rectangular bricks out of snow that are 1 foot long, 1/2 foot wide, and 1/2 foot deep. How many bricks can I make with 441 cubic feet of snow?
A: 1764
Feedback ("441"): You should multiply 1(0.5)(0.5) for the volume of one brick.
  Hint: Find the volume of one brick, and then divide 490 by that volume.

Q: The trapezoidal prism below has a volume of 136 m^3.  What is the missing base length? Don't forget to write the unit.

[Image: missing base length; other base 6 meters, trapezoid height 8 meters, prism height 2 meters]
A: 11

Q: The figure below shows the dimensions of Aman’s bedroom. Aman's walls are 9 units high. How can Aman find the surface area of just his walls? (Not the floor or ceiling)

[Image]
- 9(6 · 10 + 2 · 3) (That would be finding volume. You multiplied the area of the floor by the height.)
- 9(6 + 3 + 2 + 3 + 2 + 4 + 6 + 10) (That will do it. It is the perimeter of the room multiplied by the height.)
- 9(6 + 3 + 2 + 3 + 4) (What about the other walls? You only did the ones that had marked measures.)
A: 9(6 + 3 + 2 + 3 + 2 + 4 + 6 + 10)

Q: When folded along the dotted lines, the net shown below will form a rectangular prism. What is the surface area, in cubic units, of the prism?
[Image]
- 68 square units (What about the other three sides?)
- 136 square units
- 120 square units (You left out two of the sides)
- 160 square units (Two of the sides are 2 units by 4 units)
A: 136 square units / 120 square units

Show the calculations you use to find the surface area of this triangular prism

[Image: Triangular prism]

Show the calculations you use to find the volume of this triangular prism

[Image: Triangular prism]

Q: The surface area of this box is 244 ft^2.  Which equation will help you find x?

[Image: Box Surface Area missing length]
- 7x + 2x + 14 = 244 (What about the other three sides?)
- 7x /2 + 2x / 2 + 14 / 2 = 244 (These are rectangles, not triangles.)
- 7(x)(2) = 244 (244 ft^2 is the surface area, not the volume.)
- 7x + 7x + 2x + 2x + 14 + 14 = 244
A: 7x + 7x + 2x + 2x + 14 + 14 = 244

Q: The surface area of this box is 244 ft^2.  What is the length of the missing side? Don't forget the units!

[Image: Box surface area missing length]
A: 12

Q: This A-frame cabin needs to have a volume of 270 ft^3. Which equation will help you find the height, h?

[Image: A frame cabin volume]
- 6(10)h = 270 (Remember that a triangle's area is half of a parallelogram.)
- 6(10)h / 2 = 270
- 6h + 10h + 10h = 270 (Volume is the area of the base of the prism times the height.)
- 6h + 10 = 270 (Volume is the area of the base of the prism times the height.)
A: 6(10)h / 2 = 270

Q: This A-frame cabin needs to have a volume of 270 ft^3. What should be the height of the cabin? Don't forget the units!

[Image: A frame cabin 270 cubic feet volume; missing height of triangle, base length 6 ft, depth 10 ft]
A: 9

Q: The area of this trapezoid is 112 cm^2. What is its height? Don't forget units!

[Image: Trapezoid Missing height; bases 13 cm, 15 cm]
A: 8

Show the calculations you use to find the volume of this trapezoidal prism:

[Image: trapezoidal prism; prism height 4 ft, base lengths 10 ft and 6 ft, trapezoid height 9 ft]

Show the calculations you use to find the surface area of this triangular prism:

[Image: triangular prism; depth 22 yd, triangle sides all 15 yd, triangle height 13 yd]

Q: You have 150 square inches of cardboard to make a box with a side that is 3 inches by 3 inches as shown:

[Image: star box with 3 in by 3 inch base]

Which equation could you use to find how long you could make the box, d?
- 9 + 9 + 3d + 3d = 150
- 9 + 9 + 3d + 3d + 3d = 150
- 9 + 9 + 3d + 3d + 3d + 3d = 150
- 9d = 150
A: 9 + 9 + 3d + 3d + 3d + 3d = 150

Q: You have 150 square inches of cardboard to make a box with a side that is 3 inches by 3 inches as shown:

[Image: star box with side 3 in by 3 in]

What length can you make the box? Don't forget the unit!
A: 11

Q: I need this candy box to hold 75 cubic centimeters of fudge. Which equation could you use to find how long to make the box (the height of the prism)?

[Image: candy box missing height]
- 5(4) / 2 · x = 75
- 5(4)x = 75
- 5x + 4x = 75
- 20 + 5x + 5x + 5x = 75
A: 5(4) / 2 · x = 75

Q: I need this candy box to hold 75 cubic centimeters of fudge. How long should I make the box? Don't forget the unit!
A: 7.5