Question

Which figure has a greater volume, and how much greater is it? 2 figures. One figure has a rectangular prism with length of 36 feet, width of 21 feet, and height of 18 feet. The rectangular pyramid has a base of 36 feet by 21 feet, and height of 9 feet. The other figure has a rectangular prism with length of 36 feet, width of 21 feet, and height of 18 feet. A triangular prism has a triangular base with base of 36 feet and height of 9 feet. The prism has a height of 21 feet. The volume of figure 1 is 972 feet cubed greater than the volume of figure 2. The volume of figure 2 is 972 feet cubed greater than the volume of figure 1. The volume of figure 1 is 1,134 feet cubed greater than the volume of figure 2. The volume of figure 2 is 1,134 feet cubed greater than the volume of figure

Answer 1

D. The volume of figure 2 is 1,134 feet cubed greater than the volume of figure 1.

Explanation:

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Answer 2

The volume of figure 1 is 11340 ft^3 greater than figure 2

Explanation:

For rectangular prism, volume is

V = lenght x width x height

V = 36 x 21 x 18 = 13608 ft^3

For rectangular pyramid, volume is

V = (lenght x width x height) ÷ 3

V = (36 x 21 x 9) ÷3 = 6804/3 =2268 ft^3

Difference in volume = 11340 ft^3