Verified Answer :

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:A cube with sides 4 m.

Step-by-step 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.

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