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.
The volume of the dog house will be given by: Total volume=(volume of the cube)+(volume of the pyramid) volume of the cube is given by: V1=(length)*(width)*(height) from the info: (length)=(width)=(height)=3 1/2 ft hence; V1=(3 1/2)×(3 1/2)×(3 1/2)=42 7/8=42.875 ft³
volume of the pyramid is given by: v2=(lwh)/3 V2=1/3(base area)×(height) V2=1/3(3.5×3.5)×(5) V2=245/12=20 5/12 ft³ Hence the total volume of the whole house will be: (42 7/8+20 5/12) =63 7/24 ft³
