Question

Find the height of the pyramid if the volume and the area are 90 cu. ft. and 30 sq. ft., respectively. A. 9 ft. B. 0.999 ft. C. 1 ft. D. 270 ft.

Answer 1

A. 9 ft

Explanation:

Given that volume of the pyramid = 90 cu. ft.

Given that area of the base of the pyramid = 30 sq. ft.

Now we need to find about what is the height of the pyramid.

So plug the given values into formula of the volume of the pyramid

`volume=(1)/(3)\left(Base\ Area\right)\left(Height\right)`

`90=(1)/(3)\left(30\right)\left(Height\right)`

`90=\left(10\right)\left(Height\right)`

`(90)/(10)=Height`

`9=Height`

Hence correct choice is A. 9 ft