Architecture students are given an assignment to build a rectangularly laid out house with a volume of 20,000 cubic feet. What are some possible dimensions for this house? Use these dimensions for the activity that follows. The roof is a triangular prism placed atop the house's main frame. The base of the triangular prism is an isosceles triangle, and the length of the base of this triangle must be 4 feet longer than the length of the house. 12 ft. 2 ft. 2 ft. 1. What are the dimensions of the house? 2. What is the surface area of the roof that will need to be tiled? 3. If each tile is 12" x 24", how many tiles will be required to cover the entire roof?