Question

stella receives a package in the shape of a retanngle prism. the box has a length of 2 1/2 feet, a width of 1 1/2 feet and a height of 4 feet. stella wants to cover the box with wrapping paper. how much paper will she need?

Answer 1

Stella will need 39.5 square feet of paper for wrapping the box.

Solution:

Given that length of box =
`2 (1)/(2) \text { feet }`, width of box =
`1 (1)/(2)` feet and height of box = 4 feet

Area of paper required for wrapping the box = surface area of rectangular prism box

Surface area of rectangular prism box is given as

`=2(\text { width } * \text {length }+\text {length} * \text {height}+\text {height} * \text {width})`

`=2(1.5 * 2.5+2.5 * 4+4 * 1.5)`

`= 2( 3.75 + 10 + 6) = 2 * 19.75 = 39.5 square feet.`

Hence Stella will need 39.5 square feet of paper for wrapping the box.