Question

Sofia is going to wrap a large box and needs to figure out the surface area of the box so she can buy the correct amount of paint. The equation she uses to find the surface area,A,in square feet is A=2(lw+hw+lh), where l is the length,w is the width,and h is the height of the box.the box is 4feet wide,14 feet high,and 20 feet long. What is the surface area of the container in square feet

Answer 1

`832\ ft^2`

Explanation:

Area Of A Parallelepiped

The area of a parallelepiped of dimensions l,h,w is

`A=2(lw+hw+lh)`

The dimensions provided are enough to know the surface area of the container in square feet.

w=4 feet, h=14 feet, l=20 feet.

The area is then,

`A=2[(20)(4)+(14)(4)+(20)(14)]=2*416=832\ ft^2`

Sofia is going to need
`832\ ft^2` of material to wrap the box