Which right triangular prism has the greatest volume? A triangular prism. The triangular base has a base of 7 meters and height

Question

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Which right triangular prism has the greatest volume? A triangular prism. The triangular base has a base of 7 meters and height

of 9 meters. The height of the prism is 6 meters. A triangular prism. The triangular base has a base of 6 meters and height of 13 meters. The height of the prism is 5 meters. A triangular prism. The triangular base has a base of 11 meters and height of 8 meters. The height of the prism is 8 meters. A triangular prism. The triangular base has a base of 10 meters and height of 9 meters. The height of the prism is 8 meters.

Mathematics

2 answers:

Leni [432] · Answer 1 · 2022-07-22T17:52:37+03:00

Answer: The correct answer is option 4;

A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Step-by-step explanation: A simple check for the result of each set of dimensions would give the correct answer.

The volume of a right triangular prism is derived as follows;

Volume = 1/2 * b * h * l

Where, b is the base of the triangle, h is the vertical height of the triangle and l is the length of the prism.

Note that the area of the right triangle is denoted by 1/2 * b * h, and multiplying this result by the length of the prism gives the entire depth or volume of the triangular prism. Let us examine the dimensions one after the other;

(1) A triangular prism. The triangular base has a base of 7 metres and height of 9 metres. The height of the prism is 6 metres.

Volume = 1/2 * 7 * 9 * 6

Volume = 189 cubic metres

(2) A triangular prism. The triangular base has a base of 6 metres and height of 13 metres. The height of the prism is 5 metres.

Volume = 1/2 * 6 * 13 * 5

Volume = 165 cubic metres

(3) A triangular prism. The triangular base has a base of 11 metres and a height of 8 metres. The height of the prism is 8 metres.

Volume = 1/2 * 11 * 8 * 8

Volume = 352 cubic metres

(4) A triangular prism. The triangular base has a base of 10 metres and a height of 9 metres. The height of the prism is 8 metres.

Volume = 1/2 * 10 * 9 * 8

Volume = 360 cubic metres