Worksheet 1Worksheet 2Worksheet 3

The download includes this worksheet followed by the answer key with explanations. In the print dialog choose “Save as PDF” to download.

lessonbunny.com
Name: ______________________________ Date: ______________

Rectangular Prism Volume

Grade 5 · Geometry · Worksheet 1

  1. 14 × 8 × 6 = ? Answer: ______________
  2. A rectangular shipping container has a length of 8.5 meters, a width of 3.2 meters, and a height of 2.8 meters. What is the volume of the container in cubic meters?
    Answer: ______________
  3. 7 × 5 × 6 = ? Answer: ______________
  4. Charlotte is helping her teacher organize a shipment of new books for the school library. The books are packed in large rectangular boxes that measure 18 inches long, 12 inches wide, and 10 inches tall. What is the volume of one of these boxes in cubic inches? Answer: ______________
  5. Charlotte is packing toy blocks into a rectangular storage bin for her classroom. The bin has a length of 27 inches, a width of 12 inches, and a height of 7 inches. What is the volume of the storage bin in cubic inches?
    Answer: ______________
  6. Noah is helping his aunt build a rectangular storage box for her garage. The box needs to be 6 inches long, 11 inches wide, and 16 inches tall. What is the volume of the storage box in cubic inches? Answer: ______________
lessonbunny.com

Answer Key & Explanations

Rectangular Prism Volume · Grade 5 · Worksheet 1

  1. 14 × 8 × 6 = ? Answer: 672 Solution: Multiply the first two numbers: 14 × 8 = 112 Multiply the result by the third number: 112 × 6 = 672 The answer is 672.
    Full step-by-step solution

    Step 1: Multiply the first two numbers: 14 × 8 = 112 Step 2: Multiply the result by the third number: 112 × 6 = 672 The answer is 672.

  2. A rectangular shipping container has a length of 8.5 meters, a width of 3.2 meters, and a height of 2.8 meters. What is the volume of the container in cubic meters? Answer: 76.16 Solution: To find the volume of a rectangular container, we use the formula: Volume = length × width × height Write down the given measurements.
    Full step-by-step solution

    To find the volume of a rectangular container, we use the formula: Volume = length × width × height Step 1: Write down the given measurements. Length = 8.5 meters Width = 3.2 meters Height = 2.8 meters Step 2: Substitute the values into the volume formula. Volume = 8.5 × 3.2 × 2.8 Step 3: Perform the multiplication step by step. First, multiply the length and the width. 8.5 × 3.2 To calculate this, we can think of it as: 8.5 × 3 = 25.5 8.5 × 0.2 = 1.7 Now add them together: 25.5 + 1.7 = 27.2 So, 8.5 × 3.2 = 27.2 Step 4: Now multiply this result by the height. 27.2 × 2.8 To calculate this, we can break it down: 27.2 × 2 = 54.4 27.2 × 0.8 = 21.76 Now add them together: 54.4 + 21.76 = 76.16 Step 5: State the final answer with the correct unit. The volume of the container is 76.16 cubic meters.

  3. 7 × 5 × 6 = ? Answer: 210 Solution: Multiply the first two numbers: 7 × 5 = 35 Multiply the result by the third number: 35 × 6 = 210 The answer is 210.
    Full step-by-step solution

    Step 1: Multiply the first two numbers: 7 × 5 = 35 Step 2: Multiply the result by the third number: 35 × 6 = 210 The answer is 210.

  4. Charlotte is helping her teacher organize a shipment of new books for the school library. The books are packed in large rectangular boxes that measure 18 inches long, 12 inches wide, and 10 inches tall. What is the volume of one of these boxes in cubic inches? Answer: 2160 Solution: Recall the formula for the volume of a rectangular prism: Volume = length × width × height. Identify the dimensions from the problem: length = 18 inches, width = 12 inches, height = 10 inches.
    Full step-by-step solution

    Step 1: Recall the formula for the volume of a rectangular prism: Volume = length × width × height. Step 2: Identify the dimensions from the problem: length = 18 inches, width = 12 inches, height = 10 inches. Step 3: Multiply the length and width: 18 × 12 = 216. Step 4: Multiply the result by the height: 216 × 10 = 2160. Step 5: The volume of the box is 2160 cubic inches.

  5. Charlotte is packing toy blocks into a rectangular storage bin for her classroom. The bin has a length of 27 inches, a width of 12 inches, and a height of 7 inches. What is the volume of the storage bin in cubic inches? Answer: 2268 Solution: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Substitute the given measurements: length = 27 inches, width = 12 inches, height = 7 inches.
    Full step-by-step solution

    Step 1: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Step 2: Substitute the given measurements: length = 27 inches, width = 12 inches, height = 7 inches. Step 3: Multiply the length and width: 27 × 12 = 324. Step 4: Multiply the result by the height: 324 × 7 = 2268. Step 5: The volume of the storage bin is 2268 cubic inches.

  6. Noah is helping his aunt build a rectangular storage box for her garage. The box needs to be 6 inches long, 11 inches wide, and 16 inches tall. What is the volume of the storage box in cubic inches? Answer: 1056 Solution: Use the formula for volume of a rectangular prism: V = l × w × h. Step 2: Substitute the given measurements: V = 6 × 11 × 16. Step 3: Multiply length and width first: 6 × 11 = 66.
    Full step-by-step solution

    Step 1: Use the formula for volume of a rectangular prism: V = l × w × h. Step 2: Substitute the given measurements: V = 6 × 11 × 16. Step 3: Multiply length and width first: 6 × 11 = 66. Step 4: Multiply the result by the height: 66 × 16 = 1056. Step 5: The volume is 1056 cubic inches.