Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the surface area? 3 m 11 m 9 m square meters submit

Question

what is the surface area? 3 m 11 m 9 m square meters submit

Explanation:

Step1: Recall the formula for the surface area of a rectangular prism

The formula for the surface area \(S\) of a rectangular prism is \(S = 2(lw+lh + wh)\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height. Here, \(l = 11\space m\), \(w=9\space m\), and \(h = 3\space m\).

Step2: Calculate each pair of products

First, calculate \(lw\): \(lw=11\times9 = 99\).
Then, calculate \(lh\): \(lh=11\times3=33\).
Next, calculate \(wh\): \(wh=9\times3 = 27\).

Step3: Sum the products and multiply by 2

Sum the products: \(99 + 33+27=159\).
Multiply by 2: \(S=2\times159\).

Answer:

\(318\)