Question

Find the surface area of th prism.

Draw and label a rectangular prism that has a surface area of 96 square meters.

Answer 1

2(lh + lw + wh) = 96
lh + lw + wh = 48

l(h + w) + wh = 48
3(3 + 4) + 12

Length = 3
Width = 3
Height = 4

Answer 2

Answer:A cube with sides 4 m.

Explanation:

Surface area of any prism is the sum of area of its faces.

The surface area of any calculated by the formula SA=2(lb+bh+hl)

where l= length ,b= width and h = height of the prism.

Given S= 96 sq m

96=2(lb+bh+hl)

or lb+bh+hl=48

Or b(l+h)+hl=48

Let l=4,b=4,h=4

Then 4(4+4)+4.4=48.

A cube with sides 4 m will have a surface area of 96 square m.