Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the surface area? 21 m, 16 m, 20 m square meters submit

Question

what is the surface area? 21 m, 16 m, 20 m square meters submit

Explanation:

Step1: Recall surface area formula

The surface area \(SA\) of a rectangular prism is \(SA = 2(lw + lh + wh)\), where \(l=21\,\text{m}\), \(w=16\,\text{m}\), \(h=20\,\text{m}\).

Step2: Calculate each face area sum

First compute \(lw + lh + wh\):

$$ (21\times16)+(21\times20)+(16\times20) = 336 + 420 + 320 $$
$$ 336 + 420 + 320 = 1076 $$

Step3: Multiply by 2 for total surface area

$$ SA = 2\times1076 $$

Answer:

2152 square meters