Question

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

Answer 1

Answer:

x = 15

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = $\frac{1}{3}$ Ah ( A is the area of the base and h the height )

Here V = 225, A = x² and h = $\frac{1}{5}$ x , thus

$\frac{1}{3}$ × x² × $\frac{1}{5}$ x = 225, that is

$\frac{1}{15}$ 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.