Video: Finding the Volume of a Triangular Prism

Work out the volume of the triangular prism shown.

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Video Transcript

Work out the volume of the triangular prism shown.

To calculate the volume of any prism, we multiply the area of the cross section by the length. As this prism is triangular, the cross section is a triangle. We can calculate the area of any triangle by multiplying the base by the perpendicular height and then dividing by two.

The base and height of this triangle are six and seven. We need to multiply six by seven and then divide this answer by two and multiply by the length of 10. Six multiplied by seven is 42. Dividing this by two or halving it gives us 21. Multiplying 21 by 10 gives us 210. As there are no units given in the question, the volume of the triangular prism is 210 cubic units.

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