Question

HELP! Given a pyramid l = w = 9.0 mm and V = 324.0 cubic mm , find h in mm

Answer 1

The answer to your question is height = 12 mm

Explanation:

Data

l = w = 9 mm

V = 324 mm³

h = ?

Formula

V =
`(Ab x h)/(3)`

Solve for h

3V = Ab h

3V / Ab = h or h = 3V / Ab

Find the area of the base

Ab = l x w

= 9 x 9

= 81 mm²

Substitution

h =
`(3(324))/(81)`

Simplification

h =
`(972)/(81)`

Result

h = 12 mm