Question

. A prism has volume 50cm^3 and length 4cm if the cross is an equilateral triangle find the length of a side the triangle.

Please answer it fast
Please with steps
I want steps

( This question does not have diagram )

NO SPAM

Answer 1

The volume of a prism is: V=BhV=Bh where B is the area of a base and h is the height of the prism.

Since the bases are equilateral triangles, an altitude bisects an edge and creates a 30–60–90 right triangle so the exact value of the height of the triangle can be found.

B=12(43–√)(8)=163–√B=12(43)(8)=163 cm2cm2

The volume is:

V=163–√(6)=963–√V=163(6)=963 cm3≈166.2768775cm3≈166.2768775 cm3cm3