Unit 1 Review (Volume)

Which expressions represent the volume of this rectangular prism in cubic units?

Select all expressions that apply.

• 4 x 5 x 3

• 4 + 5 + 3

• 15 + 15 + 15 + 15

• 12 x 12 x 12 x 12 x 12

• 3 x 20

Here is a rectangular prism partially filled with cubes.

Which statement describes the volume of the rectangular prism in cubic units? (Look carefully)

• The volume is 12 cubic units.

• The volume is less than 36 cubic units.

• The volume is 36 cubic units.

• The volume is greater than 36 cubic units.

Here is the same partially filled rectangular prism.

You see that it measures a base of 9 unit cubes and you can see a height of 4 unit cubes. So why then is the volume greater than 36 unit cubes?

• Because 9 x 4 is greater than 36.

• It's not greater than 36. It's 27 unit cubes because the height is only 3 unit cubes.

• Because the height of the cubes doesn't go all the way to the top, so there's more than 36 cubic units.

• Because there is another whole unit we can go up in height.

The area of a base of this rectangular prism is 4 units long and 2 units wide.

Which way of decomposing the prism works best to represent 6 x (2 x 4)?

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What is the volume of this prism when completely filled?

What is the volume of this rectangular prism in unit cubes?

Select all the dimension sets that give you a rectangular prism with the same volume but would have different shape.

• 5 x 8 x 4

• 10 x 16 x 8

• 8 x 10 x 2

• 5 x 16 x 2

• 12 x 5 x 3

Calculate the volume of a rectangular prism with these dimensions:

2 units long, 3 units wide, 6 units high

Calculate the volume of a rectangular prism with these dimensions:

7 units long, 2 units wide, 3 units high

Which expression would work to find the volume of this 3D figure?

• (3 x 4 x 3)

• (3 x 4 x 3) + (3 x 2 x 1)

• (3 x 4 x 2) + (3 x 2 x 1)

• (3 x 4 x 2) x (3 x 2 x 1)