Testinar Grade 5 math

Volume with Fractional Edge Lengths

Students will extend volume reasoning to fractional edge lengths and related models.

CH09-06 Volume
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A shipping company uses rectangular boxes with the following dimensions: What is the volume of one shipping box?

    1. Length: \( 12 \) inches
    2. Width: \( 8 \) inches
    3. Height: \( 10 \) inches

  2. A rectangular prism has a length of 5 cm, width of 4 cm, and height of 3 cm. What is the volume? \LabeledPrismPic[0.66]{5 cm}{4 cm}{3 cm}

    1. 12 cm3
    2. 30 cm3
    3. 48 cm3
    4. 60 cm3

  3. A fish tank is 6 feet long, 3 feet wide, and 4 feet tall. How many cubic feet of water will it hold?

    1. 13 cubic feet
    2. 24 cubic feet
    3. 36 cubic feet
    4. 72 cubic feet

  4. Which rectangular prism has a volume of 120 cubic units?

    Volume of Rectangular Prisms visual for G5-C07-T04-Q004
    1. Prism A
    2. Prism B
    3. Prism C
    4. Prism D

  5. A storage box is shaped like a rectangular prism. It measures 10 inches by 7 inches by 5 inches. What is the volume? \LabeledPrismPic[0.64]{10 in}{7 in}{5 in}

    1. 175 cubic inches
    2. 225 cubic inches
    3. 350 cubic inches
    4. 500 cubic inches

  6. A classroom is 9 meters long, 8 meters wide, and 3 meters high. What is the volume of air in the classroom?

    1. 20 cubic meters
    2. 108 cubic meters
    3. 156 cubic meters
    4. 216 cubic meters

  7. A swimming pool is shaped like a rectangular prism with dimensions 20 feet long, 15 feet wide, and 6 feet deep. How many cubic feet of water can it hold? \LabeledPrismPic[0.64]{20 ft}{15 ft}{6 ft}

    1. 600 cubic feet
    2. 1200 cubic feet
    3. 1800 cubic feet
    4. 2100 cubic feet

  8. A rectangular prism is 10 cm long, 6 cm wide, and 4 cm high. What is its volume?

    1. 120 cubic centimeters
    2. 240 cubic centimeters
    3. 60 cubic centimeters
    4. 20 cubic centimeters
Teacher and parent reference

Answer key and explanations

  1. C. Height: \( 10 \) inches

    The base is \(12 \times 8 = 96\) square inches. With a height of 10 inches, the volume is \(96 \times 10 = 960\) cubic inches.

  2. D. 60 cm3

    Volume = length \(\times\) width \(\times\) height = \(5 \times 4 \times 3 = 60\) cm3.

  3. D. 72 cubic feet

    Volume = \(6 \times 3 \times 4 = 72\) cubic feet.

  4. A. Prism A

    Check each prism so there is only one match. A: \(10 \times 4 \times 3 = 120\). B: \(6 \times 5 \times 5 = 150\). C: \(8 \times 5 \times 4 = 160\). D: \(12 \times 3 \times 2 = 72\). Prism A has volume 120 cubic units.

  5. C. 350 cubic inches

    Volume = \(10 \times 7 \times 5 = 350\) cubic inches.

  6. D. 216 cubic meters

    Volume = \(9 \times 8 \times 3 = 216\) cubic meters.

  7. C. 1800 cubic feet

    Volume = \(20 \times 15 \times 6 = 1800\) cubic feet.

  8. B. 240 cubic centimeters

    Volume is length \(\times\) width \(\times\) height: \(10 \times 6 \times 4 = 240\) cubic centimeters.

Free Testinar sample Reviewed November 6, 2026 testinar.com
Page UP