Question

A prism has volume 100cm^3 and length 8cm. If the cross-section is an equilateral triangle, find the length of a side of the triangle.

Answer 1

5.373 cm

Explanation:

Divide the volume by the length to find the area of the equilateral triangle

100/8 = 12.5

Area of equilateral triangle = sqrt(3) / 4 * s^2 = 12.5

s^2 = 12.5 *4 / sqrt3

s = 5.373 cm