Respuesta :

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 = [tex]\frac{Ab x h}{3}[/tex]

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 = [tex]\frac{3(324)}{81}[/tex]

Simplification

                       h = [tex]\frac{972}{81}[/tex]

Result

                       h = 12 mm