Let’s solve each rectangular prism problem step by step.
We need to find:
- Volume = length × width × height
- Surface Area = 2×(length×width + length×height + width×height)
---
Problem 1:
Dimensions: 8 in (length), 7 in (width), 5 in (height)
Volume = 8 × 7 × 5
First, 8 × 7 = 56
Then, 56 × 5 = 280
→ Volume =
280 cubic inches
Surface Area = 2×(8×7 + 8×5 + 7×5)
Calculate inside parentheses:
8×7 = 56
8×5 = 40
7×5 = 35
Add them: 56 + 40 + 35 = 131
Multiply by 2: 131 × 2 = 262
→ Surface Area =
262 square inches
---
Problem 2:
Dimensions: 5 in (length), 4 in (width), 4 in (height)
Volume = 5 × 4 × 4
5 × 4 = 20
20 × 4 = 80
→ Volume =
80 cubic inches
Surface Area = 2×(5×4 + 5×4 + 4×4)
Inside parentheses:
5×4 = 20
5×4 = 20
4×4 = 16
Add: 20 + 20 + 16 = 56
Multiply by 2: 56 × 2 = 112
→ Surface Area =
112 square inches
---
Problem 3:
Dimensions: 4 in (length), 3 in (width), 5 in (height)
Volume = 4 × 3 × 5
4 × 3 = 12
12 × 5 = 60
→ Volume =
60 cubic inches
Surface Area = 2×(4×3 + 4×5 + 3×5)
Inside parentheses:
4×3 = 12
4×5 = 20
3×5 = 15
Add: 12 + 20 + 15 = 47
Multiply by 2: 47 × 2 = 94
→ Surface Area =
94 square inches
---
Problem 4:
Dimensions: 8 in (length), 6 in (width), 5 in (height)
Volume = 8 × 6 × 5
8 × 6 = 48
48 × 5 = 240
→ Volume =
240 cubic inches
Surface Area = 2×(8×6 + 8×5 + 6×5)
Inside parentheses:
8×6 = 48
8×5 = 40
6×5 = 30
Add: 48 + 40 + 30 = 118
Multiply by 2: 118 × 2 = 236
→ Surface Area =
236 square inches
---
Final Answer:
1. Volume: 280 in³, Surface Area: 262 in²
2. Volume: 80 in³, Surface Area: 112 in²
3. Volume: 60 in³, Surface Area: 94 in²
4. Volume: 240 in³, Surface Area: 236 in²
Parent Tip: Review the logic above to help your child master the concept of volume rectangular prism worksheet.
