SOLUTION: A part of a machine is made of metal and is shaped like a rectangular prism with a cylinder cut through its center. The prism and the cylinder have the same height. Find the volume

Question 1020167: A part of a machine is made of metal and is shaped like a rectangular prism with a cylinder cut through its center. The prism and the cylinder have the same height. Find the volume of metal in the part. Round your answer to the nearest hundredth of a cubic inch. (number only)

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
A part of a machine is made of metal and is shaped like a rectangular prism with a cylinder cut through its center.
The prism and the cylinder have the same height. Find the volume of metal in the part.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

There are no real dimensions in this post, so it is not possible to make calculations.

But the idea is to distract volume of the cylinder from the volume of the prizm.

See the lesson Solved problems on volume of cylinders, Problem 5 in this site.

You will find the calculations there.

RELATED QUESTIONS
A cake shaped like a rectangular prism with sides of 9cm by 14cm by 15cm is completely... (answered by ikleyn)

A cake shaped like a rectangular prism with sides of 9cm by 14cm by 15cm is completely... (answered by ikleyn)

When a chunk of metal is dropped into a container of water, the water level rises 1.8cm. (answered by Mathtut)

When a chunk of metal is dropped into a container of water, the water level rises 1.8cm.... (answered by ikleyn)

Estimate the number of cubic inches of metal contained in a cylinder with a rectangular... (answered by Fombitz)

A cake shaped like a rectangular prism with sides by 9 cm by 14 cm by 15 cm is completely (answered by ikleyn)

A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, (answered by ikleyn)

A suitcase is shaped like a rectangular prism. The length of the diagonal of one of its... (answered by ikleyn)