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Counting unit cubes to find the volume of rectangular prisms in a math worksheet.

Worksheet titled "Counting Cubes - Rectangular Prisms" with nine diagrams of rectangular prisms made of unit cubes, each labeled with a number and a blank line for volume calculation, with a key indicating 1 ft³ per unit cube.

Worksheet titled "Counting Cubes - Rectangular Prisms" with nine diagrams of rectangular prisms made of unit cubes, each labeled with a number and a blank line for volume calculation, with a key indicating 1 ft³ per unit cube.

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Show Answer Key & Explanations Step-by-step solution for: Volume of a rectangular prism worksheet
To find the volume of each rectangular prism, we count how many unit cubes fit inside it. Since each cube is 1 ft³, the total number of cubes equals the volume in cubic feet.

We can do this by multiplying:
- How many cubes are across (length)
- How many cubes go deep (width)
- How many cubes stack up (height)

Let’s solve each one step by step.

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Problem 1:
Looking at the shape:
- Length = 4 cubes
- Width = 3 cubes
- Height = 6 cubes
Volume = 4 × 3 × 6 = 72 → 72 ft³

Problem 2:
- Length = 5
- Width = 4
- Height = 5
Volume = 5 × 4 × 5 = 100 → 100 ft³

Problem 3:
- Length = 3
- Width = 3
- Height = 5
Volume = 3 × 3 × 5 = 45 → 45 ft³

Problem 4:
- Length = 5
- Width = 3
- Height = 3
Volume = 5 × 3 × 3 = 45 → 45 ft³

Problem 5:
- Length = 6
- Width = 4
- Height = 2
Volume = 6 × 4 × 2 = 48 → 48 ft³

Problem 6:
- Length = 6
- Width = 5
- Height = 7
Volume = 6 × 5 × 7 = 210 → 210 ft³

Problem 7:
- Length = 7
- Width = 4
- Height = 3
Volume = 7 × 4 × 3 = 84 → 84 ft³

Problem 8:
- Length = 3
- Width = 2
- Height = 9
Volume = 3 × 2 × 9 = 54 → 54 ft³

Problem 9:
- Length = 4
- Width = 3
- Height = 7
Volume = 4 × 3 × 7 = 84 → 84 ft³

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Final Answer:
1) 72 ft³
2) 100 ft³
3) 45 ft³
4) 45 ft³
5) 48 ft³
6) 210 ft³
7) 84 ft³
8) 54 ft³
9) 84 ft³
Parent Tip: Review the logic above to help your child master the concept of volume rectangular prism worksheet.
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