Question

A gift box is 14 inches long, 8 inches wide, and 4 inches high. How much wrapping paper is needed to wrap the gift box?

Answer 1

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

Answer 2

We will use the formula for finding the surface area of a rectangular prism. 

Formula = 

SA = 2 (wl+hl+hw)SA = 2 (8·14 + 4·14 + 4·8)
SA = 2 (112 + 56 + 32)
SA = 2 (200)
SA = 400

The gift box needs C) 400 in wrapping paper to wrap the gift box.