Question

Susan is building a cage for her rabbit and started by making the supports for the cage as shown below, where a = 12 inches, b = 45 inches, c = 9.6 inches, d = 36 inches, and e = 9.6 inches.Susan now needs to cover the supports of her cage with rabbit wire to complete the pen. How many square inches of rabbit wire will she need?
A.
3,395.52 square inches
B.
3,049.92 square inches
C.
4,086.72 square inches
D.
3,741.12 square inches

Answer 1

since she's buying the material to cover all the surfaces, she's really looking for the surface area

to figure out the surface area, identify all the 2D surfaces surrounding the empty space within the structure.

I'll start with the front 2 faces. these are 2 rectangles with dimensions a*b and d*e

there's a backside on the opposite side of the box, so double this total to get 2(a*b + d*e) so far.

continue with the other surfaces.