The base of a straight triangular prism is a right-angled triangle with legs 3 cm and 10 cm.

univerkov | January 11, 2021 | education

The base of a straight triangular prism is a right-angled triangle with legs 3 cm and 10 cm. The height of the prism is 8 cm. Find the volume of the prism.

Since at the base of the prism lies a right-angled triangle, the area of the base of the prism is equal to: Sbase = AB * BC / 2 = 10 * 3/2 = 15 cm2.
The volume of a straight prism is equal to the product of its base area by the height of the prism.
V = Sbn * AA1 = 15 * 8 = 120 cm3.
Answer: The volume of the prism is 120 cm3.

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