Find the volume of the composite figure below: 5 in 8 in 6 in 10 in

Mathematics

1 answer:

inysia [295]3 years ago

8 0

Answer:

716in³

Step-by-step explanation:

The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.

For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about 235.62 cubic inches.

For the volume of the other prism, we simply have to do length times height times width, or 6·8·10. That is equal to 480 cubic inches, which is the volume of that prism.

To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.

235.62+480= 715.62in³, or about 716in³.

Hope this helps.

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