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Rectangular Prism Volume

Grade 5 · Geometry · Worksheet 1

  1. Matiu has a rectangular prism with a volume of 1344 cubic units. The length is 16 units and the width is 7 units. What is the height?
    Answer: ______________
  2. Mason is helping his aunt build a new storage shed. The floor of the shed is a rectangle that is 12 feet long and 10 feet wide. They want to build the walls 8 feet high. What is the volume of the storage shed in cubic feet?
    Answer: ______________
  3. Mere is helping her uncle build a rectangular storage shed. The floor of the shed will be 750 centimeters long and 600 centimeters wide. The shed needs to be 400 centimeters tall to store large equipment. What is the volume of the storage shed in cubic centimeters?
    Answer: ______________
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Answer Key & Explanations

Rectangular Prism Volume · Grade 5 · Worksheet 1

  1. Matiu has a rectangular prism with a volume of 1344 cubic units. The length is 16 units and the width is 7 units. What is the height? Answer: 12 Solution: Write the formula for volume: V = l × w × h Substitute the known values: 1344 = 16 × 7 × h Multiply the length and width: 16 × 7 = 112 Now the equation is: 1344 = 112 × h To find h, divide both sides by 112: h = 1344 ÷ 112 1344 ÷ 112 = 12 The height is 12 units.
    Full step-by-step solution

    Step 1: Write the formula for volume: V = l × w × h Step 2: Substitute the known values: 1344 = 16 × 7 × h Step 3: Multiply the length and width: 16 × 7 = 112 Step 4: Now the equation is: 1344 = 112 × h Step 5: To find h, divide both sides by 112: h = 1344 ÷ 112 Step 6: 1344 ÷ 112 = 12 The height is 12 units.

  2. Mason is helping his aunt build a new storage shed. The floor of the shed is a rectangle that is 12 feet long and 10 feet wide. They want to build the walls 8 feet high. What is the volume of the storage shed in cubic feet? Answer: 960 Solution: The shed is a rectangular prism, so we use the formula Volume = length x width x height. Identify the measurements: length = 12 feet, width = 10 feet, height = 8 feet. Multiply the length and width first: 12 x 10 = 120.
    Full step-by-step solution

    Step 1: The shed is a rectangular prism, so we use the formula Volume = length x width x height. Step 2: Identify the measurements: length = 12 feet, width = 10 feet, height = 8 feet. Step 3: Multiply the length and width first: 12 x 10 = 120. Step 4: Multiply that result by the height: 120 x 8 = 960. Step 5: The volume of the storage shed is 960 cubic feet.

  3. Mere is helping her uncle build a rectangular storage shed. The floor of the shed will be 750 centimeters long and 600 centimeters wide. The shed needs to be 400 centimeters tall to store large equipment. What is the volume of the storage shed in cubic centimeters? Answer: 180000000 Solution: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Write down the measurements: length = 750 cm, width = 600 cm, height = 400 cm.
    Full step-by-step solution

    Step 1: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Step 2: Write down the measurements: length = 750 cm, width = 600 cm, height = 400 cm. Step 3: Multiply the length and width first: 750 × 600 = 450000. Step 4: Multiply that result by the height: 450000 × 400 = 180000000. Step 5: The volume of the storage shed is 180,000,000 cubic centimeters. The answer is 180000000.