Question

The square pyramid has a volume of 27 cubic inches. What is the value of X?

Answer 1

Answer:

9 inches

Step-by-step explanation:

base is rectangular in shape

Side of base of square pyramid is X inches

height of square pyramid is 1/9 X

Volume  of any pyramid is 1/3 *(area of base* height of pyramid)

area of base of square pyramid = Side of base * Side of base

as area of square is equal to side * side

area of base of square pyramid = x* x square inches = $x^2 sq.\ inches$

Volume  of  pyramid = 1/3 *(area of base* height of pyramid)

substituting given value of of volume of pyramid , height of pyramid and  area of base calculated above we have

$27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9$

Therefor value of x is 9 inches.