The total surface area of all six sides of the rectangular box is equal to 80 square inches. The value of length and height have been assumed as 4 What is the volume of the rectangular box in cubic inches?

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answer is B.

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Detailed Solution

Concept- If l,b,h are a rectangular box's length, width, and height, respectively, then S=2(lb+bh+hl) gives the box's total surface area.
Let l, b, and h represent the provided rectangular box's length, width, and height, respectively.
⇒l=4″
⇒b=x″
⇒h=4″
Given that the box's total surface area is 80inch².
=2(lb+bh+lh)=80
=2(4x+4x+16)=80
=16x+32=80
=x+2=5
=x=3″
Consequently, the box's volume, as determined by V, is
V=l×b×h
V=4×3×4
The volume of the provided box is V=48inch³
Hence, the answer is (2) 48inch³

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