Answered

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

Verified Answer :

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. 

dakotacsey03

Answer :

A.  156 cubic feet

B.  278 cubic feet

C. 300 cubic feet  

D.  324 cubic feet

Explanation :

Volume of pyramid is \(V = \frac{1}{3} * BaseArea*Height\)

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

Base Area \(A_{b}\) = 10.6 x 6 = 60 Sq. Ft.

Volume Of Pyramid :  

\(V = \frac{1}{3} *60*15 = 300Cubic Ft.\)

Related Questions