Question

This is the formula for the volume of a right square pyramid, where a is the side length of the base and h is the height: . Which equation correctly rewrites the formula to solve for h?

Answer 1

Answer:

C. h=3V/a^2 is the correct answer

Step-by-step explanation:

Given:

V=1/3a^2h

It can be rewritten as

V=1/3 *( a^2) * h

Divide both sides by (1/3)*h

V / (1/3*h) = (1/3)* (a^2) * h / (1/3)*h

V÷1/3*h = a^2

V÷3/1*h=a^2

3V/h=a^2

Multiply both sides by h

3V/h*h=h*a^2

3V=h*a^2

h=3V/a^2

C. h=3V/a^2 is the correct answer