Explanation:
We are given a rectangular prism with dimensions:
- Length (L) = 4
- Width (W) = 3
- Height (H) = 2
The surface area (SA) of a rectangular prism is the sum of the areas of all 6 faces.
There are 3 pairs of identical faces:
- Front and back: each is L × H → 2 × (L × H)
- Left and right: each is W × H → 2 × (W × H)
- Top and bottom: each is L × W → 2 × (L × W)
So the formula is:
SA = 2(LW) + 2(LH) + 2(HW)
Now plug in the numbers:
1. LW = 4 × 3 = 12 → 2(LW) = 2 × 12 = 24
2. LH = 4 × 2 = 8 → 2(LH) = 2 × 8 = 16
3. HW = 3 × 2 = 6 → 2(HW) = 2 × 6 = 12
Add them up:
SA = 24 + 16 + 12 = 52
Let’s double-check:
- Top & bottom: 2 × (4 × 3) = 24
- Front & back: 2 × (4 × 2) = 16
- Left & right: 2 × (3 × 2) = 12
24 + 16 = 40; 40 + 12 = 52
✔
Final Answer:
52
Parent Tip: Review the logic above to help your child master the concept of surface area of rectangular prisms worksheet.
