Question

Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid). The building has a 64×64 m end text square base and is 36 m tall. The cut off section has a16×16m square base and is 12 m tall. What is the volume of the building? Round to the nearest cubic meter.

Answer 1

Area of full pyramid: = 1/3 x area of base x height

Area = 1/3 x 64^2 x 36 = 49,152 cubic meters

Area of top section: 1/3 x 16^2 x 12 = 1,024 cubic meters

Total volume of truncated pyramid = 49,152 - 1,024 = 48,128 cubic meters