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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.?


A252.8 ft.3
B120.98 ft.3
C409.98 ft.3
D560.30 ft.3

Verified Answer :

MissPhiladelphia

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 

SenpaiTrill

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

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