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

Question

asked Mar 15, 2021 205k views

1 Answer

Olexiy Burov · Answer 1 · 2021-03-19T07:34:22+0000

Answer:

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