Let me work through each rectangular prism problem step by step.
For a rectangular prism:
- Volume = length × width × height
- Surface Area = 2(lw + lh + wh)
Problem 1: Dimensions are 8 in, 7 in, and 5 in
- Volume = 8 × 7 × 5 = 280 cubic inches
- Surface Area = 2(8×7 + 8×5 + 7×5) = 2(56 + 40 + 35) = 2(131) = 262 square inches
Problem 2: Dimensions are 5 in, 4 in, and 4 in
- Volume = 5 × 4 × 4 = 80 cubic inches
- Surface Area = 2(5×4 + 5×4 + 4×4) = 2(20 + 20 + 16) = 2(56) = 112 square inches
Problem 3: Dimensions are 4 in, 3 in, and 3 in
- Volume = 4 × 3 × 3 = 36 cubic inches
- Surface Area = 2(4×3 + 4×3 + 3×3) = 2(12 + 12 + 9) = 2(33) = 66 square inches
Problem 4: Dimensions are 8 in, 6 in, and 5 in
- Volume = 8 × 6 × 5 = 240 cubic inches
- Surface Area = 2(8×6 + 8×5 + 6×5) = 2(48 + 40 + 30) = 2(118) = 236 square inches
Let me verify these calculations once more to make sure they're correct before providing the final answer.
Problem 1: V = 8×7×5 = 280 ✓, SA = 2(56+40+35) = 2(131) = 262 ✓
Problem 2: V = 5×4×4 = 80 ✓, SA = 2(20+20+16) = 2(56) = 112 ✓
Problem 3: V = 4×3×3 = 36 ✓, SA = 2(12+12+9) = 2(33) = 66 ✓
Problem 4: V = 8×6×5 = 240 ✓, SA = 2(48+40+30) = 2(118) = 236 ✓
All calculations check out. Now I'll provide the final answer.
Final Answer:
1. Volume = 280 in³, Surface Area = 262 in²
2. Volume = 80 in³, Surface Area = 112 in²
3. Volume = 36 in³, Surface Area = 66 in²
4. Volume = 240 in³, Surface Area = 236 in²
Parent Tip: Review the logic above to help your child master the concept of surface area word problems worksheet pdf.
