Question

Mr. Richardson is building a 3d doghouse out of plywood in the shape of a rectangular prism.

4 ft

4 ft

3 ft

The piece he cuts out for the opening of the 3d doghouse will be used to make a sign Plywood costs $2 per square foot. What is the total cost of the plywood Mr. Richardson needs for the 3d doghouse?

(2 points)

$160

$48

$80

$96

Answer 1

To find the total cost of the plywood needed for the 3D doghouse, we first need to find the surface area of each of the five sides.

The dimensions of the rectangular prism are:
Length = 4ft
Width = 4ft
Height = 3ft

There are two sides with dimensions 4ft x 3ft, two sides with dimensions 4ft x 4ft, and one side with dimensions 3ft x 4ft.

Surface Area = 2(4 x 3) + 2(4 x 4) + 1(3 x 4)
Surface Area = 2(12) + 2(16) + 1(12)
Surface Area = 24 + 32 + 12
Surface Area = 68 square feet

Therefore, the total cost of the plywood needed for the 3D doghouse is:
68 square feet x $2 per square foot = $136

So, the closest answer choice is $160.