Title: Math 7 Volume Problems
Course: quiz duplicate error

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]
- 10w * 9 = 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.)
- 10w / 2 * 9 = 540 (The area of a rectangle is just length times width. You don't need to divide it by 2.)
A: 10w * 9 = 540

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

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

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 units.

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

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.)
- (4b / 2)10 = 50 (That will work!)
- 50 - 10 - 4 = b (Remember the volume of a prism is the area of the base times the height.)
- (10b / 2)50 = 4 (Remember the volume of a prism equals the area of the base times the height.)
A: (4b / 2)10 = 50

Q: The volume of the triangular prism below is 50 m^3. What is the length of the base of the triangle? Write your answer as a decimal and don't forget to write units.

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

Q: The trapezoidal prism below has a volume of 136 m^3.  Write an equation to find the missing edge length.

[Image: Missing base length of trapezoidal prism; other base 6 m, height of trapezoid 8 m, height of prism 2 m]
- 8(x + 6) / 2 * 2= 136 (Awesome!)
- 8(x + 6) / 2 = 136 (Don't forget about the height of the prism.)
- 8(6) / 2 + 2x = 136 (Remember that the volume of any prism is the area of the base times the height.)
- 8x / 2 * 2 = 136 (The area of a trapezoid is (base 1 + base 2)* height / 2)
A: 8(x + 6) / 2 * 2= 136

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: 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. To get 2/3 of the tank, you should multiply the total volume by 2/3.)
- 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 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.