Question

The square pyramid has a volume of 486 cubic inches. What is the value of x?

Answer 1

Base Length = 18
Base Width = 18
Heigth = 4.5
x = 18

Hope this helpz!

Answer 2

Volume of square pyramid can be calculated by the formula :

V=
`a^(2)(h)/(3)`

a is the length of base and h is the height of the pyramid.

In the given figure a= x in.and h =
`(1)/(4) x` in.

Volume of pyramid given V =486 cubic inches.

Substituting these values in volume of pyramid we have:

486=
`x^(2) (x)/(4)` ÷ 3

Or 486=
`(x^(3))/(4) x(1)/(3)`

486=
`(x^(3))/(12)`

Multiplying both sides by 12

5832 =
`x^(3)`

`18^(3) =x^(3)`

Or x= 18 in.