Question

explain how my math is right for the rectangular prism when the height is 11ft width is 34ft and the length is 20 ft

Answer 1

I can check that — first I’ll show the standard formulas and then plug in your numbers.

1) Volume
- Formula: V = length × width × height
- With l = 20 ft, w = 34 ft, h = 11 ft:
V = 20 × 34 × 11
20 × 34 = 680, and 680 × 11 = 6,800 + 680 = 7,480
- Volume = 7,480 cubic feet (ft^3).

2) Surface area
- Formula: SA = 2(lw + lh + wh)
- Compute the three face areas:
lw = 20 × 34 = 680 ft^2
lh = 20 × 11 = 220 ft^2
wh = 34 × 11 = 374 ft^2
- Sum = 680 + 220 + 374 = 1,274; double that:
SA = 2 × 1,274 = 2,548 ft^2

3) Space diagonal (if you need it)
- Formula: d = sqrt(l^2 + w^2 + h^2)
- d = sqrt(20^2 + 34^2 + 11^2) = sqrt(400 + 1,156 + 121) = sqrt(1,677) ≈ 40.95 ft

If the numbers you got match these, your math is correct. If you computed something different, tell me what you calculated and I’ll check it.