Question

PLEASE HELP!! DUE!!

The square pyramid has a volume of 225 cubic inches. What is the value of x?

Answer 1

x = 15

Explanation:

The volume (V) of a pyramid is calculated as

V =
`(1)/(3)` Ah ( A is the area of the base and h the height )

Here V = 225, A = x² and h =
`(1)/(5)` x , thus

`(1)/(3)` × x² ×
`(1)/(5)` x = 225, that is

`(1)/(15)` x³ = 225 ( multiply both sides by 15 )

x³ = 3375 ( take the cube root of both sides )

x =
`\sqrt[3]{3375}` = 15

Answer 2

Volume of square pyramid=lwh/3=225 in³.

l=w=Xin.

h=x/5in.

x³/15=225

x=15in.