Respuesta :
Answer:
The amount used is 116 sq. inch of paper
Step-by-step explanation:
Here , we are to calculate the amount of paper used to wrap a shipping box that is shaped like a rectangular prism
.
To answer this question, we shall be calculating the surface area of that box which is equivalent to the area of the paper that was used.
Mathematically, the surface area of a rectangular prism can be calculated using the mathematical formula below;
A = 2(lw + hl + hw)
where l, h and w are the length, height and width respectively. Since the base is a square, it means that the width and the length are the same 2 inches. The height is given as 28 inches.
we plug these values into the equation;
A = 2((28*2) + (28*2) + (2 * 2)) = 56 + 56 + 4 = 116 sq. inch
Answer:
The amount of paper Justine used is 232 in²
Step-by-step explanation:
Here we have, height, H of box = 28 in
Base of box = Square base with side = 2 in
Therefore, width, W of box = 2 in
Length, L of box = 2 in
The amount of paper wrap that Justine require = The amount of paper Justine used = Surface area of shipping box
Surface area of shipping box = 2 × L ×W + 2 × L × H + 2 × W ×H
= 2·L·W + 2·L·H + 2·W·H = 2·2·2 + 2·2·28 + 2·2·28 = 8 + 112 + 112 = 232 in²
∴ The amount of paper Justine used = 232 in².
