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Review what you've learned in this lesson.

Now you will have the opportunity to practice what you have learned so far. Please check your understanding by completing these practice problems. Be sure to review the material in the lesson for any problems you answer incorrectly. It's important to understand all the concepts in this lesson before you take the lesson quiz.

What is the volume of this rectangular prism?

rectangular prism

  1. 11.5 cubic units
  2. 34.5 cubic units
  3. 54.0 cubic units
  4. 69.0 cubic units

Multiply the length by the width by the height.

Multiply the length by the width by the height.

Multiply the length by the width by the height.

Multiply the length by the width by the height.

How many cubic inches of water can this fish tank hold?

rectangular prism

  1. 42 in3
  2. 210 in3
  3. 1,326 in3
  4. 1,920 in3

Multiply the length by the width by the height.

Multiply the length by the width by the height.

Multiply the length by the width by the height.

Multiply the length by the width by the height.

What is the volume of these stacks of boxes? Each box has a length of 18 inches, a width of 7 inches, and a height of 11 inches.

stacks of boxes

  1. 1,386 in3
  2. 2,772 in3
  3. 11,088 in3
  4. 24,948 in3

You can find the volume of one box and multiply by the number of boxes (18).

You can find the volume of one box and multiply by the number of boxes (18).

You can find the volume of one box and multiply by the number of boxes (18).

You can find the volume of one box and multiply by the number of boxes (18).

The rectangular prism below has a volume of 85.64 cubic units. If its height is 4.5 units and its length is 5.5 units, about how long is the missing dimension, d?

rectangular prism

  1. 3.00 units
  2. 3.46 units
  3. 24.75 units
  4. 2,119.59 units

Set up the volume equation and substitute in known values. Then solve for the missing dimension.

V = l × w × h
85.64 = 5.5 × d × 4.5
85.64 = 24.75 × d
d = 3.46

Set up the volume equation and substitute in known values. Then solve for the missing dimension.

V = l × w × h
85.64 = 5.5 × d × 4.5
85.64 = 24.75 × d
d = 3.46

Set up the volume equation and substitute in known values. Then solve for the missing dimension.

V = l × w × h
85.64 = 5.5 × d × 4.5
85.64 = 24.75 × d
d = 3.46

Set up the volume equation and substitute in known values. Then solve for the missing dimension.

V = l × w × h
85.64 = 5.5 × d × 4.5
85.64 = 24.75 × d
d = 3.46

What is the volume of this prism?

prism

  1. 24 cubic units
  2. 70 cubic units
  3. 120 cubic units
  4. 1,800 cubic units

Break the base up into rectangles. Find the total area and then multiply by the height.

Break the base up into rectangles. Find the total area and then multiply by the height.

Break the base up into rectangles. Find the total area and then multiply by the height.

Break the base up into rectangles. Find the total area and then multiply by the height.

How many pallets of boxes will fit into the truck trailer?

loading pallets into a trailer

  1. 25 pallets of boxes
  2. 28 pallets of boxes
  3. 33 pallets of boxes
  4. 38 pallets of boxes

Find the volume of the truck and the volume of the pallet box. Then divide the larger volume by the smaller volume. Ensure there are no dimension limitations, though.

Find the volume of the truck and the volume of the pallet box. Then divide the larger volume by the smaller volume. Ensure there are no dimension limitations, though.

Find the volume of the truck and the volume of the pallet box. Then divide the larger volume by the smaller volume. Ensure there are no dimension limitations, though.

Find the volume of the truck and the volume of the pallet box. Then divide the larger volume by the smaller volume. Ensure there are no dimension limitations, though.

What is the volume of this oblique rectangular prism?

oblique rectangular prism

  1. 30 cubic units
  2. 40 cubic units
  3. 152 cubic units
  4. 14.8 cubic units

Remember to use the perpendicular height, not the slant height, to find the volume.

Remember to use the perpendicular height, not the slant height, to find the volume.

Remember to use the perpendicular height, not the slant height, to find the volume.

Remember to use the perpendicular height, not the slant height, to find the volume.

Summary

Questions answered correctly:

Questions answered incorrectly: