Three Dimensional Shapes Question
View this question.
Add this question to a group or test by clicking the appropriate button below.
Grade 10 Three Dimensional Shapes CCSS: HSG-SRT.C.8, HSG-MG.A.3
A new house is being designed, which will roughly look like a rectangular prism with a triangular prism on top. The triangular faces of the triangular prism will be adjacent to the smaller side faces of the rectangular prism. The roof consists of two sides (two of the rectangular faces of the triangular prism) and these sides are the same dimensions. The future homeowner wants the dimensions of the length to width to total height of the house (from the ground to the peak of the roof) to be 9:6:10. If the house cannot be more than 25 ft high, and the roof cannot be steeper than 45° (its angle of elevation), what will be the maximum surface area of the roof, rounded to the nearest square foot? Assume that there is no overhang (the roof stops at the wall of the house).
- 239 square feet
- 477 square feet
- 531 square feet
- 955 square feet