Let's solve each of the problems on the worksheet 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.
We'll use the formula for the volume of a rectangular prism:
>
Volume = Length × Width × Height
Since each small cube is 1 ft³, the total volume equals the total number of cubes.
---
Problem 1
-
Dimensions:
- Length: 3 units (front-to-back)
- Width: 4 units (side-to-side)
- Height: 5 units (top-to-bottom)
- Volume = 3 × 4 × 5 =
60 ft³
✔ Volume = 60 ft³
---
Problem 2
-
Dimensions:
- Length: 4 units
- Width: 4 units
- Height: 4 units
- Volume = 4 × 4 × 4 =
64 ft³
✔ Volume = 64 ft³
---
Problem 3
-
Dimensions:
- Length: 3 units
- Width: 3 units
- Height: 4 units
- Volume = 3 × 3 × 4 =
36 ft³
✔ Volume = 36 ft³
---
Problem 4
-
Dimensions:
- Length: 2 units
- Width: 3 units
- Height: 3 units
- Volume = 2 × 3 × 3 =
18 ft³
✔ Volume = 18 ft³
---
Problem 5
-
Dimensions:
- Length: 4 units
- Width: 3 units
- Height: 2 units
- Volume = 4 × 3 × 2 =
24 ft³
✔ Volume = 24 ft³
---
Problem 6
-
Dimensions:
- Length: 4 units
- Width: 4 units
- Height: 5 units
- Volume = 4 × 4 × 5 =
80 ft³
✔ Volume = 80 ft³
---
Problem 7
-
Dimensions:
- Length: 5 units
- Width: 4 units
- Height: 2 units
- Volume = 5 × 4 × 2 =
40 ft³
✔ Volume = 40 ft³
---
Problem 8
-
Dimensions:
- Length: 2 units
- Width: 2 units
- Height: 6 units
- Volume = 2 × 2 × 6 =
24 ft³
✔ Volume = 24 ft³
---
Problem 9
-
Dimensions:
- Length: 3 units
- Width: 3 units
- Height: 4 units
- Volume = 3 × 3 × 4 =
36 ft³
✔ Volume = 36 ft³
---
✔ Final Answers:
| Problem | Volume (ft³) |
|--------|--------------|
| 1 | 60 |
| 2 | 64 |
| 3 | 36 |
| 4 | 18 |
| 5 | 24 |
| 6 | 80 |
| 7 | 40 |
| 8 | 24 |
| 9 | 36 |
---
🔍 How to Check:
You can verify by counting layers:
- For example, in Problem 1: 5 layers high, each layer has 3×4 = 12 cubes → 5×12 = 60
All volumes are correct based on visual inspection and multiplication.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of volume of a rectangular prism worksheet.
