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.

Jaks asked Feb 19, 2023

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Jaks asked Feb 19, 2023

by Jaks

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20 votes

Answer:

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

Zhong Huiwen answered Feb 25, 2023

2.8k points

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