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The base of a right prism is a right-angled triangle and the measure of the base of the right-angled triangle is 12 m and its height is 16 m and If the height of the prism is 9 m then what is the number of edges of the prism and its volume?

The base of a right prism is a right-angled triangle and the measure of the base of the right-angled triangle is 12 m and its height is 16 m and If the height of the prism is 9 m then what is the number of edges of the prism and its volume? Correct Answer 9 and 864 m<sup>3</sup>

Given:

The base and height of the right-angled triangle are 12 m and 16m respectively

Formula used:

Area of the right-angled triangle = ½ × base × height

The volume of the prism = Area of the base × Height of the prism

The number of the edges of the prism = The number of the sides of the base × 3

Calculation:

The number of the edges of the prism = The number of the sides of the base × 3

⇒ 3 × 3 = 9

Area of the base = ½ × 12 × 16 = 96 m2

The volume of the prism = 96 × 9 = 864 m3

∴ The number of edges and its volume is 9 and 864 m3

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