Answer:
Option C is correct
The wrapping paper is needed to wrap the gift box is, 400 in²
Step-by-step explanation:
Surface area of the prism(S) is given by:
\(S =2(lw+wh+hl)\)
where, l is the length , w is the width and h is the height of the box receptively.
Given that:
A gift box is 14 inches long, 8 inches wide, and 4 inches high
⇒ l = 14 inches, w = 8 inches and h = 4 inches
Substitute these in [1] we have;
\(S = 2(14 \cdot 8 + 8 \cdot 4 + 4 \cdot 14) = 2(112+32+56) = 2(200) = 400 in^2\)
Therefore, wrapping paper is needed to wrap the gift box is, 400 in²
