A prism has a height of 11.2 cm in an equilateral triangle for a base for each base is 8 cm find the volume round answer to the

Question

3 years ago

8

nearest hundred

1 answer:

ololo11 [35] · Answer 1 · 2022-03-20T00:23:29+03:00

Answer:

$310.35cm^3$

Step-by-step explanation:

Volume of a Prism=Base Area X Height

The base is an equilateral triangle of side 8cm.

We can find the area of the triangle using Herons Formula.

Given a triangle with sides a,b and c

Area $\sqrt{s(s-a)(s-b)(s-c)}$

Where:

Semiperimeter, s $=\frac{a+b+c}{2}$

The sides are of length 8cm, 8cm and 8cm.

Therefore:

s $=\frac{8+8+8}{2}=12cm$

Area $=\sqrt{12(12-8)(12-8)(12-8)}=27.71cm^2$

Since Base Area =27.71cm^2

Volume=27.71*11.2

$=310.35cm^3$