Respuesta :
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.
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.
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:
[tex]S =2(lw+wh+hl)[/tex]
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;
[tex]S = 2(14 \cdot 8 + 8 \cdot 4 + 4 \cdot 14) = 2(112+32+56) = 2(200) = 400 in^2[/tex]
Therefore, wrapping paper is needed to wrap the gift box is, 400 in²