CFA on Volume

Mikala built two steps, as shown, out of two wood boxes to help her little brother reach the top of his toy table and to store some of his toys.

The dotted line shows where the two boxes fit together, making two rectangular prisms. When she finished, Mikala realized the steps were not tall enough, so she added on another wood box to make a third, higher step. If the total volume of the 3 boxes is 840 cubic inches, what is the volume of the third box?

• 280 cubic inches

• 385 cubic inches

• 455 cubic inches

• 1,295 cubic inches

Luis and Jordan built a platform to use on stage during the school play. The platform is made of two rectangular prisms as shown below.

What is the total volume of the platform?

• 28 cubic feet

• 80 cubic feet

• 120 cubic feet

• 200 cubic feet

Ned attached two foam blocks to make this solid figure.

What is the total volume of the figure made from the two blocks?

• 55 cubic centimeters

• 300 cubic centimeters

• 75 cubic centimeters

• 19 cubic centimeters

Chaz has two planter boxes that he has arranged as shown below.

How much potting soil does he need to fill both planter boxes?

• 135 cubic inches

• 290 cubic inches

• 360 cubic inches

• 500 cubic inches

Emma has created a right rectangular prism out of unit cubes with the following dimensions:

• 3 unit cubes long

• 4 unit cubes wide

• 7 unit cubes high

What will happen to the volume of the right rectangular prism Emma created if she doubles the length?

• The new volume will be half the original volume.

• The new volume will be equal to the original volume.

• The new volume will be 2 times the original volume.

• The new volume will be 6 times the original volume.

Gaby has two boxes stacked on a shelf in her attic.


What is the total volume of the boxes?

• 192 inches to the 3rd power

• 300 inches to the third power

• 392 inches to the third power

• 492 inches to the third power