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Can some please explain and help what to do. I don’t understand this.

Can some please explain and help what to do. I don’t understand this.-example-1
User Elder
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5 votes

Answer:

1248 cm³

Explanation:

You want the volume of the triangular prism with height 16 cm. The triangular base has a base dimension of 13 cm and a height of 12 cm.

Volume

The volume of any prism is the product of the area of its base and the distance between the bases (prism height).

V = Bh . . . . . B is the base area, h is the height

Base

The triangular base of this prism is a triangle with its base measuring 13 cm and its height measuring 12 cm. The area of this triangle is ...

A = 1/2bh

A = 1/2(13 cm)(12 cm) = 78 cm²

Prism volume

Then the volume of the prism is ...

V = (78 cm²)(16 cm) = 1248 cm³

The volume of the triangular prism is 1248 cubic centimeters.

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Additional comment

The bases of the prism are the two faces that are congruent and parallel to each other. They are the triangles. The distance between them is the height (or length) of the prism.

You may have noticed that the volume of a triangular prism is 1/2 the volume of a rectangular prism with the same dimensions. (This is because the base triangle has half the area of a rectangle with the same dimensions.)

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Can some please explain and help what to do. I don’t understand this.-example-1
User Giles Bradshaw
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8.2k points

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