Curtis build a dog house with base shaped like a cube and a roof shaped like a pyramid. The cube has an edge lenght of 3 1/2 feet. The height of the pyramid is 5 feet. Find the volume of the doghouse rounded to the nearest tenth.

The volume of the cube is:

V1 = L ^ 3

Where,

L: length of the sides of the cube.

Substituting we have:

V1 = (3 + 1/2) ^ 3

V1 = 42,875 feet ^ 3

The volume of the pyramid is:

V2 = ((Ab) * (h)) / (3)

Where,

Ab: base area

h: height

Substituting we have:

V2 = (((3 1/2) * (3 1/2)) * (5)) / (3)

V2 = 20.41666667 feet ^ 3

The volume of the house is the sum of both volumes:

V1 + V2 = 42,875 feet ^ 3 + 20.41666667 feet ^ 3

V1 + V2 = 63.29166667 feet ^ 3

Nearest tenth:

V1 + V2 = 63.3 feet ^ 3

Answer:

The volume of the doghouse rounded to the nearest tenth is:

V1 + V2 = 63.3 feet ^ 3