Question

Justine wants to wrap a shipping box shaped like a rectangular prism. The box is 28 inches tall and has a square base with sides that each measure 2 inches. How much paper did she use?

Answer 1

The amount used is 116 sq. inch of paper

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 2

The amount of paper Justine used is 232 in²

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.