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?

Respuesta :

Answer:  

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

Solution:

Given that length of box = [tex]2 \frac{1}{2} \text { feet }[/tex], width of box = [tex]1 \frac{1}{2}[/tex] 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

[tex]=2(\text { width } \times \text {length }+\text {length} \times \text {height}+\text {height} \times \text {width})[/tex]

[tex]=2(1.5 \times 2.5+2.5 \times 4+4 \times 1.5)[/tex]

[tex]= 2( 3.75 + 10 + 6) = 2 \times 19.75 = 39.5 square feet.[/tex]

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