Math help!!?

Question

Find the VOLUME of the triangular prism!:
The width and length are both 8 cm and the line going down the triangles front face is 7 cm...
PLEASE Explain and show work and give the formula if you can...thanks!!! :)

Answer 1

The volume of a triangular prism (or any prism for that matter) is found by finding the area of the base shape (in this case a triangle) and multiplying that by the height of the prism.

(V = Bh, where B is the area of the base shape and h is the height)

In the problem, you give a length and width, so I'll assume it's a right triangle. (If it's not right, then you need to give more information)

The area of the base triangle is then B = 1/2 * 8 * 8 = 32

Volume = Bh = 32 * 7 = 224 cm^3 = 224 cc

*Note: be careful not to confuse the base and height of a triangle with the base area and height of a prism.

Answer 2

volume = area of triangle * length

So area=1/2 height * length

Area = (1/2)*8*7
Area = 28 square cm

Volume = area*length
Volume = 28*8=224 cubic cm.
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