Question

Randy is building a cube-shaped doghouse with four faces. He is leaving one face open as a door, and one face open to the ground. The doghouse will be 4 feet long. What is the total surface area of the walls and the top of the doghouse?
Be sure to include the formula for surface area.

Show how to modify the forumla for surface area to meet the needs of this problem.

Show all of your work, including your final answer with the correct units

Answer 1

Total suface area of a cube = $6 a^{2}$, where a is the length of the cube.
Here, two faces will be left open, which reduces the formula to
total surface area = $4 a^{2}=4(4)^{2}=4\times 16=64$ square feet