Question

Calculate the volume of the triangle prism ​

Answer 1

Answer: 23.09 cm³

Explanation:

To find the volume of the triangular prism, we will use the given formula. When we are given the height of the base triangle this formula is much shorter, however, we are not given the triangle's height here.

Given:

V =
`(1)/(4) h√(-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4)`

Substitute:

V =
`(1)/(4) (2.65)√(-3^4+2(3*6)^2+2(3*6)^2-6^4+2(6*6)^2-6^4)`

Combine like terms:

V =
`(1)/(4) (2.65)√(1,215)`

Compute by multipling:

V = 23.09 cm³