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PLEASE HELP!! DUE!!

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

PLEASE HELP!! DUE!! The square pyramid has a volume of 225 cubic inches. What is the-example-1

2 Answers

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Answer:

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

User StuckAtWork
by
7.5k points
3 votes

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

l=w=Xin.

h=x/5in.

x³/15=225

x=15in.

User Debi
by
7.7k points

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