The base of a straight triangular prism is a right-angled triangle with legs 2 and 7,
| July 13, 2021 | education
The base of a straight triangular prism is a right-angled triangle with legs 2 and 7, the lateral edge of the prism is 6. Find the volume of the prism.
From the condition it is known that the base of a straight triangular prism is a right-angled triangle with legs 2 and 7, it is also known that the lateral edge of the prism is 6. In order to find the volume of the prism, we apply the following formula:
V = S_main. * h.
The volume of the prism is equal to the product of the area of the base and the height.
To find the base, we apply the formula for finding the area of a right-angled triangle:
S = 1/2 * a * b, where a and b are legs:
S = 1/2 * 2 * 7 = 7 sq. units.
V = 7 * 6 = 42 cubic meters. units.
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