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Question from Brenda, a student:

Find the volume of a triangular prism with a base of 5 cm by 5 cm and a height of 12.5 cm. Round to the nearest tenth.

This is a pre-algebra question.

Hi Brenda.

From your description, it sounds like the prism you are describing is what I've drawn on the left below:

prism-3d

To get the volume of this prism, you can multiply the area on the face of the triangle (see the drawing to the right) by the depth between the two triangular faces.

The area of a triangle is ½ base times height.

So find the area of the triangular face, multiply by the depth and you have the volume.

Hope this helps,
Stephen La Rocque.

triangle

 

 

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