Question

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

Answer 1

Answer:

The answer to your question is height = 12 mm

Step-by-step explanation:

Data

l = w = 9 mm

V = 324 mm³

h = ?

Formula

V = $\frac{Ab x h}{3}$

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 = $\frac{3(324)}{81}$

Simplification

                       h = $\frac{972}{81}$

Result

                       h = 12 mm