Question

Find the volume of this shape.

Answer 1

Look at the given solid in this way: View the ends as the triangular base of the solid. Find the area of this base and then mult. that by the "height," 14 cm.

The altitude of the triangle (h) is found using the Pyth. Thm.: (5 cm)^2 + h^2 = (8 cm)^2. Then h^2 = (64-25) cm^2. Then h = +6.245. Applying the formula for the area of a triangle, we get A = (1/2)(base)(height) = (1/2)(10 cm)(6.245 cm), or

31.225 square inches. Mult. that by the "height," or 14 cm, we get the final answer:

V of prism = (31.225)(14) cm^3, or 437.15 cm^3.

Answer 2

s=(a+b+c )/2

A=(s(s-a)(s-b)(s-c))^0.5

V=A*h

here a=10,b=8,c=8,s=13

V=437.14986

Hope it helps