Title: Math 7 Volume of Prisms
Course: quiz duplicate error

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]
Feedback: Area of the base: 4 * 1.5 = 6 square ft Volume = 6 * 6 = 36 cubic ft

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

[Image]
- 308 ft^3
- 301 ft^3 (Check your calculation. You need to multiply the area of the base by the height.)
- 298 ft^3 (Check your calculation. You need to multiply the area of the base by the height.)
- 312 ft^3 (Check your calculation. You need to multiply the area of the base by the height.)
A: 308 ft^3

Q: Carlton 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]
- 32 cubic inches (You need to multiply the area of the base times the height to get the volume. The base of the box is 8 inches by 4 inches, and the height is 4 inches.)
- 160 cubic inches (The base of the box is 8 inches by 4 inches, and the height is 4 inches.)
- 170 cubic inches (The base of the box is 8 inches by 4 inches, and the height is 4 inches.)
- 128 cubic inches
A: 128 cubic inches

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

[Image]
- 17 m^3
- 34 m^3 (The base is a triangle, so you need to divide by 2 when finding the area.)
- 8.5 m^3 (The area of the triangle base is 2*1 / 2 = 1 square meter. Now multiply the height of the prism to that.)
- 1 m^3 (The area of the triangle base is 2*1 / 2 = 1 square meter. Now multiply the height of the prism to that.)
A: 17 m^3

Q: Find the volume of the triangular prism.

[Image: triangular prism]
- 60 cubic meters
- 100 cubic meters (Make sure you are using the base and the height of the triangle. You won't use the 5 m measurement to find the volume.)
- 200 cubic meters (Make sure you are using the base and the height of the triangle. You won't use the 5 m measurement to find the volume.)
- 200 cubic meters (Calculate the area of the triangular base and then multiply that by the height, 10 m.)
- 120 cubic meters (Remember that the area of a triangle is half the area of a rectangle.)
A: 60 cubic meters

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

[Image]
- 1449 ft^3 (Multiply the area of the base times the height.)
- 1440 ft^3
- 788 ft^3 (Multiply the area of the base times the height. The area of the base is 16*10.)
- 1430 ft^3 (Multiply the area of the base times the height.)
A: 1440 ft^3

Q: Monica is using a geometry software program to draw three-dimensional scale models. If each unit on the isometric drawing below represents 5 feet, what is the actual volume of the prism?
[Image]
- 30 cubic feet (The prism has dimensions 3 units by 5 units by 2 units. Since each unit represent 5 feet, the actual dimensions are [Image] feet, [Image] feet, and [Image] feet.)
- 1,875 cubic feet (The prism has dimensions 3 units by 5 units by 2 units. Since each unit represent 5 feet, the actual dimensions are [Image] feet, [Image] feet, and [Image] feet.)
- 3,750 cubic feet
- 150 cubic feet (The prism has dimensions 3 units by 5 units by 2 units. Since each unit represent 5 feet, the actual dimensions are [Image] feet, [Image] feet, and [Image] feet.)
A: 3,750 cubic feet

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. Multiply the area of the base times the height to get the volume.)
- 136 cubic units (After being folded, the dimensions of the prism will be 4 units by 2 units by 10 units. Multiply the area of the base times the height to get the volume.)
- 80 cubic units
- 1,000 cubic units (After being folded, the dimensions of the prism will be 4 units by 2 units by 10 units. Multiply the area of the base times the height to get the volume.)
A: 80 cubic units

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

Q: Find the volume of this trapezoidal prism:

[Image: Trapezoidal Prism; bases 4 ft and 7ft, height 6 ft, depth 3 ft]

Hint: Find the area of the trapezoidal base, then multiply that area to the height of the prism.
- 504 ft^3 (Incorrect. The area of a trapezoid is (base1 + base2)*height / 2)
- 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

The cereal bar box pictured below is a prism with parallelogram bases. Pretty cool packaging!

The base of each parallelogram has a length of about 6 inches and a height of 2 inches as marked. The box stands about 8 inches tall.

What is the volume of the cereal bar box? Show your work.

[Image: prism packaging]
Feedback: Area of parallelogram base: 6*2 = 12 square inches Volume: 12 * 8 = 96 cubic inches

The block labeled letter B is a cube with dimensions 5 centimeters by 5 centimeters by 5 centimeters. What is the volume, in cubic centimeters, of the block labeled B?

[Image]

Show your work below.