Question

the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Find the volume of the prism ​

Answer 1

Answer:

$V=34.64\ cm^3$

Step-by-step explanation:

Given that,

The side of an equilateral prism = 4 cm

The altitude of the prism = 5 cm

We need to find the volume of the prism. The formula for the volume of a prism is as follows :

$V=A\times h$

Where

A is the area of equilateral triangle, $A=\dfrac{\sqrt3}{4}a^2$

So,

$V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3$

So, the volume of the prism is equal to $34.64\ cm^3$.