Question

What is the volume of a frustum of a rectangular pyramid if one base has measurements 6 ft. × 8 ft., the other base has measurements 14 ft. × 18 ft., and the height is 3 ft.?

A. 252.8 ft.3
B. 120.98 ft.3
C. 409.98 ft.3
D. 560.30 ft.3

Answer 1

Hello there.

What is the volume of a frustum of a rectangular pyramid if one base has measurements 6 ft. × 8 ft., the other base has measurements 14 ft. × 18 ft., and the height is 3 ft.?

C. 409.98 ft.3

Answer 2

To solve this, we use the formula for the volume of the frustum of a cone which is expressed as:

V= (H/6)[WL + (W+a)(L+b) + ab]
V = 3/6 [(6 ft. × 8 ft.) + (6 + 14)(18 + 8) + (14 ft. × 18 ft.)]
V = 409.98 ft^3 <-----OPTION C