35.4k views
5 votes
Find the volume of the triangular prism.
7 cm
6 cm
5 cm
3
V = [?]cm³

1 Answer

3 votes

Answer:

V=1

square root of 4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Explanation:

What is a prism? It's a solid object with:

identical two bases

three rectangular faces (right prism) or in parallelogram shape (oblique prism)

the same cross section along its whole length

We are using the term triangular prism to describe the right triangular prism, what is quite a common practice. If you are looking for other prism type, check our rectangular prism calculator.

Triangular prism formulas

Usually what you need to calculate are the triangular prism volume and its surface area. The two most basic equations are:

volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length

area = length * (a + b + c) + (2 * base_area), where a, b, c are sides of the triangle and base_area is the triangular base area

But what if we don't have the height and base of the triangle? And how to find triangular prism surface area without all sides of the triangular base? Check out the other triangular prism formulas!

User Ptone
by
4.4k points