What is the total surface area of a rectangular prism that is 7 feet long, 6 feet wide, and 4 feet high?

1 Answer
Jun 19, 2018

#188# square feet.

Explanation:

A rectangular prism is a cuboid, so the surface area of this prism is the same as surface area of a cuboid.

It will be given by:

#A=2(lw+lh+wh)#

where:

  • #l# is the length of the cuboid

  • #w# is the width of the cuboid

  • #h# is the height of the cuboid

So, we get:

#A=2(7 \ "ft"*6 \ "ft"+7 \ "ft"*4 \ "ft"+6 \ "ft"*4 \ "ft")#

#=2(42 \ "ft"^2+28 \ "ft"^2+24 \ "ft"^2)#

#=2*94 \ "ft"^2#

#=188 \ "ft"^2#