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 3

  1. A rectangular storage container is shaped like a box. It has a length of 12.5 meters, a width of 4.8 meters, and a height of 3.2 meters. What is the volume of this container in cubic meters?
    Answer: ______________
  2. 9 × 7 × 8 = ? Answer: ______________
  3. Maya is designing a fish tank for her classroom. The tank needs to be 2.4 meters long, 1.5 meters wide, and hold water that is 0.8 meters deep. What is the volume of water, in cubic meters, that the tank will hold? Answer: ______________
  4. Maria is designing a rectangular fish tank for her classroom. The tank needs to be 2.4 meters long, 1.5 meters wide, and filled with water to a depth of 0.8 meters. What is the volume of water, in cubic meters, that the fish tank will hold? Answer: ______________
  5. 14 × 9 × 6 = ? Answer: ______________
  6. Hana is helping her uncle build a rectangular storage box for his garage. The box needs to be 600 millimeters long, 400 millimeters wide, and 300 millimeters tall. What is the volume of the storage box in cubic millimeters? Answer: ______________
  7. Emma is designing a rectangular fish tank for her classroom. The tank will be 1.2 meters long, 0.75 meters wide, and 0.9 meters tall. What is the volume of the fish tank in cubic meters? Answer: ______________
lessonbunny.com

Answer Key & Explanations

Rectangular Prism Volume · Grade 5 · Worksheet 3

  1. A rectangular storage container is shaped like a box. It has a length of 12.5 meters, a width of 4.8 meters, and a height of 3.2 meters. What is the volume of this container in cubic meters? Answer: 192 Solution: Write down the formula for volume of a rectangular prism: Volume = length × width × height Substitute the given values: Volume = 12.5 × 4.8 × 3.2 First multiply 12.5 × 4.8 12.5 × 4 = 50 12.5 × 0.8 = 10 50 + 10 = 60 Now multiply 60 × 3.2 60 × 3 = 180 60 × 0.2 = 12 180 + 12 = 192 The volume is 192…
    Full step-by-step solution

    Step 1: Write down the formula for volume of a rectangular prism: Volume = length × width × height Step 2: Substitute the given values: Volume = 12.5 × 4.8 × 3.2 Step 3: First multiply 12.5 × 4.8 12.5 × 4 = 50 12.5 × 0.8 = 10 50 + 10 = 60 Step 4: Now multiply 60 × 3.2 60 × 3 = 180 60 × 0.2 = 12 180 + 12 = 192 Step 5: The volume is 192 cubic meters

  2. 9 × 7 × 8 = ? Answer: 504 Solution: Multiply the first two numbers: 9 × 7 = 63 Multiply the result by the third number: 63 × 8 = 504 The answer is 504.
    Full step-by-step solution

    Step 1: Multiply the first two numbers: 9 × 7 = 63 Step 2: Multiply the result by the third number: 63 × 8 = 504 The answer is 504.

  3. Maya is designing a fish tank for her classroom. The tank needs to be 2.4 meters long, 1.5 meters wide, and hold water that is 0.8 meters deep. What is the volume of water, in cubic meters, that the tank will hold? Answer: 2.88 Solution: Identify the three dimensions of the rectangular prism (the fish tank). Length = 2.4 meters Width = 1.5 meters Height (depth of water) = 0.8 meters Recall the formula for the volume of a rectangular prism.
    Full step-by-step solution

    Step 1: Identify the three dimensions of the rectangular prism (the fish tank). Length = 2.4 meters Width = 1.5 meters Height (depth of water) = 0.8 meters Step 2: Recall the formula for the volume of a rectangular prism. Volume = Length × Width × Height Step 3: Substitute the given values into the formula. Volume = 2.4 × 1.5 × 0.8 Step 4: Perform the multiplication step by step. First, multiply 2.4 by 1.5. 2.4 × 1.5 = 3.6 Step 5: Now multiply the result by 0.8. 3.6 × 0.8 = 2.88 Step 6: State the final answer with the correct units. The volume of water is 2.88 cubic meters.

  4. Maria is designing a rectangular fish tank for her classroom. The tank needs to be 2.4 meters long, 1.5 meters wide, and filled with water to a depth of 0.8 meters. What is the volume of water, in cubic meters, that the fish tank will hold? Answer: 2.88 Solution: Identify the dimensions: length = 2.4 m, width = 1.5 m, height = 0.8 m Use the volume formula for a rectangular prism: Volume = length × width × height Multiply the first two dimensions: 2.4 × 1.5 = 3.6 Multiply the result by the third dimension: 3.6 × 0.8 = 2.88 The volume is 2.88 cubic meters
    Full step-by-step solution

    Step 1: Identify the dimensions: length = 2.4 m, width = 1.5 m, height = 0.8 m Step 2: Use the volume formula for a rectangular prism: Volume = length × width × height Step 3: Multiply the first two dimensions: 2.4 × 1.5 = 3.6 Step 4: Multiply the result by the third dimension: 3.6 × 0.8 = 2.88 Step 5: The volume is 2.88 cubic meters

  5. 14 × 9 × 6 = ? Answer: 756 Solution: Multiply the first two numbers: 14 × 9 = 126 Multiply the result by the third number: 126 × 6 = 756 The answer is 756.
    Full step-by-step solution

    Step 1: Multiply the first two numbers: 14 × 9 = 126 Step 2: Multiply the result by the third number: 126 × 6 = 756 The answer is 756.

  6. Hana is helping her uncle build a rectangular storage box for his garage. The box needs to be 600 millimeters long, 400 millimeters wide, and 300 millimeters tall. What is the volume of the storage box in cubic millimeters? Answer: 72000000 Solution: Use the formula for volume of a rectangular prism: Volume = length x width x height. Substitute the given measurements: Volume = 600 mm x 400 mm x 300 mm. Multiply the length and width first: 600 x 400 = 240000.
    Full step-by-step solution

    Step 1: Use the formula for volume of a rectangular prism: Volume = length x width x height. Step 2: Substitute the given measurements: Volume = 600 mm x 400 mm x 300 mm. Step 3: Multiply the length and width first: 600 x 400 = 240000. Step 4: Multiply the result by the height: 240000 x 300 = 72000000. Step 5: The volume is 72,000,000 cubic millimeters.

  7. Emma is designing a rectangular fish tank for her classroom. The tank will be 1.2 meters long, 0.75 meters wide, and 0.9 meters tall. What is the volume of the fish tank in cubic meters? Answer: 0.81 Solution: Identify the dimensions: length = 1.2 m, width = 0.75 m, height = 0.9 m Use the volume formula for a rectangular prism: Volume = length × width × height Multiply the numbers: 1.2 × 0.75 = 0.9 Multiply the result by the height: 0.9 × 0.9 = 0.81 The volume of the fish tank is 0.81 cubic meters.
    Full step-by-step solution

    Step 1: Identify the dimensions: length = 1.2 m, width = 0.75 m, height = 0.9 m Step 2: Use the volume formula for a rectangular prism: Volume = length × width × height Step 3: Multiply the numbers: 1.2 × 0.75 = 0.9 Step 4: Multiply the result by the height: 0.9 × 0.9 = 0.81 Step 5: The volume of the fish tank is 0.81 cubic meters.