Question

A liquid-filled glass pyramid is being erected as part of a museum attraction. The pyramid is designed to be 15 feet tall with a rectangular base that is 10 feet long and 6 feet wide. What is the total amount of liquid that the pyramid can hold?

A.156 cubic feet
B.278 cubic feet
C.300 cubic feet
D.324 cubic feet

Answer 1

A. 156 cubic feet

B. 278 cubic feet

C. 300 cubic feet

D. 324 cubic feet

Explanation :

Volume of pyramid is
`V = (1)/(3) * BaseArea*Height`

[ L = 10 , w = 6 , h = 15 ] Ft. each

Base Area
`A_(b)` = 10.6 x 6 = 60 Sq. Ft.

Volume Of Pyramid :

`V = (1)/(3) *60*15 = 300Cubic Ft.`

Answer 2

The best answer would be letter C. The volume or the amount of liquid that the pyramid can hold would be 300 cubic feet. I got this answer through solving for the volume of a pyramid with a rectangular base, which formula is '(lwh)/3'. So i multiplied everything given in the problem and divided it by 3.