Question

Find the volume of given prism round to the nearest tenth necessary.

Answer 1

First, find the area of the base (the triangle) and then multiply it by the height

to find the area of the triangle you need to know the height. cut the triangle in half and you get a right triangle, from there you can use the Pythagorean theorem. remember since you cut the triangle in half you have to divide one of the sides by 2

a^2 + b^2 = c^2              (plug in known information)
a^2 + (7.5)^2 = (15)^2      (solve, first solve the exponents)
a^2 + 56.25 = 225         (subtract 56.25 on both sides)
a^2 = 168.75                    (solve for a, put 168.75 under the square root)

then once you find the area multiply by the known height