Question

A solid wooden post in the shape of a right rectangular prism measuring 10 cm by 12
cm by 30 cm is drilled with a cylindrical hole of radius 2 cm. Find the volume of the
post after the hole has been drilled. Round your answer to the nearest tenth if
necessary?

Answer 1

The volume of the post = volume of rectangular prism - volume of cylindrical hole = 3,223.0 cm³.

What is the Volume of a Rectangular Prism?

Volume = (l)(w)(h)

What is the Volume of a Cylinder?

Volume = πr²h

Volume of the post = volume of rectangular prism - volume of cylindrical hole

= (l)(w)(h) - πr²h

= (10)(12)(30) - π(2²)(30)

Volume of the post = 3,223.0 cm³

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