At a farm, animals are fed bales of hay and buckets of grain. Each bale of hay is in the shape a rectangular prism. The base has side lengths 2 feet and 3 feet, and the height is 5 feet. Each bucket of grain is a cylinder with a diameter of 3 feet. The height of the bucket is 5 feet, the same as the height of the bale.

Question

Which is larger in area, the rectangular base of the bale or the circular base of the bucket? Explain how you know.

Which is larger in volume, the bale or the bucket? Explain how you know.

Answer 1

area of base of bale = 2(3) ft^2 =
area of circle = π(1.5)^2

evaluate then decide which has the bigger area

since both have the same height --> the larger area will yield the larger volume