Curtis builds a doghouse with base shaped like a cube and a roof shaped like a pyramid. the cube has an edge length of 3 1/2 feet. the height of the pyramid is 5 feet. find the volume of the doghouse rounded to the nearest tenth.

To determine the volume of the doghouse, we simply have to add the volume of the cube and the pyramid which may be obtained by the equations below.

volume of cube = e³

where e is the length of the side

volume of pyramid = e²h / 3

Substituting the known values to the equation,

volume of cube = (3.5 ft) ³ = 42.875 ft³

volume of pyramid = (3.5 ft) ² (5 ft) / 3 = 20.42 ft³

Adding up these volumes will give us an answer of 63.29 ft³.