Let's solve each problem step by step. The goal is to
count the number of unit cubes in each rectangular prism and determine the
volume, where each cube represents
1 ft³.
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🔷 Key Concept:
Volume of a rectangular prism =
Length × Width × Height
Each small cube = 1 ft³, so total volume = total number of cubes.
We'll analyze each figure by counting the dimensions:
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1)
-
Length: 4 units (front to back)
-
Width: 3 units (side to side)
-
Height: 6 units (top to bottom)
> Volume = 4 × 3 × 6 =
72 ft³
✔ Volume = 72 ft³
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2)
-
Length: 5 units
-
Width: 4 units
-
Height: 4 units
> Volume = 5 × 4 × 4 =
80 ft³
✔ Volume = 80 ft³
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3)
-
Length: 3 units
-
Width: 3 units
-
Height: 4 units
> Volume = 3 × 3 × 4 =
36 ft³
✔ Volume = 36 ft³
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4)
-
Length: 4 units
-
Width: 3 units
-
Height: 2 units
> Volume = 4 × 3 × 2 =
24 ft³
✔ Volume = 24 ft³
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5)
-
Length: 6 units
-
Width: 4 units
-
Height: 2 units
> Volume = 6 × 4 × 2 =
48 ft³
✔ Volume = 48 ft³
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6)
-
Length: 5 units
-
Width: 5 units
-
Height: 5 units
> Volume = 5 × 5 × 5 =
125 ft³
✔ Volume = 125 ft³
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7)
-
Length: 6 units
-
Width: 4 units
-
Height: 2 units
> Volume = 6 × 4 × 2 =
48 ft³
✔ Volume = 48 ft³
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8)
-
Length: 3 units
-
Width: 3 units
-
Height: 8 units
> Volume = 3 × 3 × 8 =
72 ft³
✔ Volume = 72 ft³
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9)
-
Length: 4 units
-
Width: 3 units
-
Height: 5 units
> Volume = 4 × 3 × 5 =
60 ft³
✔ Volume = 60 ft³
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✔ Final Answers:
| Problem | Volume (ft³) |
|--------|--------------|
| 1) | 72 |
| 2) | 80 |
| 3) | 36 |
| 4) | 24 |
| 5) | 48 |
| 6) | 125 |
| 7) | 48 |
| 8) | 72 |
| 9) | 60 |
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📝 Summary:
You can find the volume of a rectangular prism by multiplying its length, width, and height. Since each cube is 1 ft³, simply count the cubes or use multiplication based on the dimensions.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of volume of rectangular prisms worksheet.
