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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?1. 9 and 864 m32. 9 and 964 m33. 5 and 886 m34. 5 and 968 m3 |
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Answer» Correct Answer - Option 1 : 9 and 864 m3 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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