Changing Volume of Rectangular Prism

The volume of a rectangular solid is 960 cubic inches. The dimensions of the base are 12 inches by 10 inches. What is the height of the solid?

• 8 inches

• 80 inches

• 9.6 inches

• 10 inches

If the height of the rectangular prism is multiplied by a scale factor of 4, which of the following is true?

• The volume remains the same.

• The volume is eight times as large.

• The volume is also multiplied by a scale factor of 4.

• The volume increases by 4.

Look at the prisms.

• The volume of Prism A is half the volume of Prism B.

• The volume of Prism A is equal to the volume of Prism B.

• The volume of Prism B is 10 times the volume of Prism A.

• The volume of Prism B is 20 times the volume of Prism A.

Kaitlyn has a rectangular prism that has the same dimensions as the one shown except for the height 4 times as tall. What is true about the volume of Kaitlyn's rectangular prism?

• Her prism's volume is 4 cubic centimeters less than the volume of the prism above.

• Her prism's volume is 4 cubic centimeters more than the volume of the prism above.

• Her prism's volume is 4 times the volume of the prism above.

Calculate the volume:

• 1120 ft ³ 

• 600 ft ³

• 560 ft ³

• 64 ft ³

Answer explanation

To calculate the volume, multiply the length, width, and height. In this case, the volume is 10 ft x 7 ft x 8 ft = 560 ft^3, which matches the correct answer choice.

What is the volume of this figure?

• 24 cubic units

• 38 cubic units

• 45 cubic units

• 35 cubic units

Find the volume of the rectangular prism. How many unit cubes would it take to make the rectangular prism? (The small cube just shows what one cubic unit looks like inside this rectangular prism, it is not a separate part.)

• 45 cubic units

• 13 square units

• 48 cubic units

• 24 cubic units

Find the volume of the rectangular prism with dimensions 6 in. by 3 in. by 5 in. (inches).

• 126 in³

• 105 in³

• 90 in³

• 96 in³

Place the vocabulary words in the correct spot

a

b

c

d

e

Volume

cubic units

rectangular prism

prism

three - dimensional figure

Find the volume.

Mathematical Equivalence

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