What is the area of the front of the shed (in square feet)? What is the storage capacity (volume) of its interior (in cubic feet)?

Question

A storage shed is in the shape of a pentagonal prism. The front represents one of its two pentagonal bases.

2'

6'

10'

5'

A storage shed in the shape of a pentagonal prism is shown.

1. The front and back of the shed are pentagonal bases, and there are five rectangular sides.
2. A line divides the front and back pentagonal bases into a rectangle with a triangle on top.
3. The front pentagonal base and right rectangular side meet the bottom rectangular side at right angles.
4. The dimensions of the shed are labeled as follows.
5. The height of the triangular section is labeled 2'.
6. The vertical height of the front rectangular side is labeled 5'.
7. The horizontal width of the front rectangular side is labeled 6'.
8. The horizontal length of the right rectangular side is labeled 10'.

What is the area of the front of the shed (in square feet)?

 

What is the storage capacity (volume) of its interior (in cubic feet)?

Answer 1

A_front = Area_rectangle + Area_triangle

V = (Area_triangle)(length)