5th Grade Volume Study Guide (Lessons 1-3)

What is the volume of the cube?

• A

• B

• C

• D

Answer explanation

The key word is VOLUME. Remember, the side length of a unit cube has a side length of 1 unit. The volume refers to the l x w x h which is measured in cubic units.

Which figure has a volume of 3 x 4 x 4 cubic units?

• A

• B

• C

• D

Answer explanation

apply the formula for volume (l x w x h)

Consider the two rectangular prisms. What is the total volume of the two rectangular prisms?

• A

• B

• C

• D

Answer explanation

Find the volume of each rectangular prism.

The top prism has a length of 4 cm, a width of 6 cm, and a height of ? cm. The height can be determined by by following the parallel lines until you find a line with a numbered measurement.

If there is not a measurement, you'll have to calculate based on the amount given. This may require addition or subtraction.

8 cm - 6 cm = 2cm. So 4 cm x 6 cm x 2 cm = 48 cubic cm.

The bottom prism has a length of 6 cm, a width of ? cm, and a height of 6 cm. The width can be determined by following the parallel lines until you find a line with a measurement.

So, 6 cm x 6 cm x 6 cm = 216 cubic cm.

Add the two volumes. 216 cubic cm + 48 cubic cm = 264 cubic cm

If Maddox draws another cube that is 5 inches long, 9 inches wide, and 13 inches tall, what is the volume of the cube?

• A

• B

• C

• D

Answer explanation

Use the formula for volume l x w x h or b (area of the base) x h.

Use the area model if you have not learned the standard algorithm.

1 unit cube by 2 unit cubes

• 1 unit cube

• 2 unit cubes

• 3 unit cubes

• 4 unit cubes

• 12 unit cubes

Answer explanation

Multiply the two dimensions that are given by the possible third dimension.

1 x 2 x ? = 24

2 unit cubes by 6 unit cubes

• 1 unit cube

• 2 unit cubes

• 3 unit cubes

• 4 unit cubes

• 12 unit cubes

Answer explanation

Multiply the two dimensions that are given by the possible third dimension.

2 x 6 x ? = 24

2 unit cubes by 3 unit cubes

• 1 unit cube

• 2 unit cubes

• 3 unit cubes

• 4 unit cubes

• 12 unit cubes

Answer explanation

Multiply the two dimensions that are given by the possible third dimension.

2 x 3 x ? = 24

8 unit cubes by 3 unit cubes

• 1 unit cube

• 2 unit cubes

• 3 unit cubes

• 4 unit cubes

• 12 unit cubes

Answer explanation

Multiply the two dimensions that are given by the possible third dimension.

8 x 3 x ? = 24

4 unit cubes by 2 unit cubes

• 1 unit cube

• 2 unit cubes

• 3 unit cubes

• 4 unit cubes

• 12 unit cubes

Answer explanation

Multiply the two dimensions that are given by the possible third dimension.

4 x 2 x ? = 24

The next day, Elise draws a model of two rectangular prisms stacked on top of one another as shown. What is the volume of the model in cubic feet.

• A

• B

• C

• D

Answer explanation

Find the volume of each rectangular prism.

The top prism has a length of 8 ft., a width of 4 ft., and a height of 4ft. So, 8 ft. x 4 ft. x 4 ft. = 128 cubic ft.

The bottom prism has a length of 12 ft, a width of ? ft. and a height of 6 4ft. The width can be determined by following the parallel lines until you find a line with a measurement. So, 12 ft. x

4 ft. x 4 ft. = 192 cubic ft.

Add the two volumes. 128 cubic cm + 192 cubic cm = 320 cubic ft.