Question

Find the volume of the given prism. Round to the nearest tenth if necessary.

Answer 1

Hello!

The equation for a triangular prism is


`(1)/(4) h \sqrt{-a^(4)+ (a b)^(2) + 2 ( a c^(2) ) - b^(4) + 2(b c)^(2) -c^(4) }`

That is long

A B and C are bases and the H is the height

After you plug in the values

A = 13
B = 13
C = 13
H = 24

You get the answer if 1756.3

Hope this helps!

Answer 2

Answer: Volume of given prism is 1756.3 cm³.

Explanation:

Since we have given that

Base of prism is equilateral triangle.

Side of equilateral triangle = 13 cm

Height of prism = 24 cm

So, volume of prism = Area of base × Height

So, Area of base is given by

`(√(3))/(4)* 13* 13\\\\=73.17\ sq.\ cm`

So, volume of prism is given by

`73.17* 24\\\\=1756.29\ cm^3\\\\=1756.3\ cm^3`

Hence, Volume of given prism is 1756.3 cm³.