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prestonshelton
Hello!

The equation for a triangular prism is

[tex] \frac{1}{4} h \sqrt{-a^{4}+ (a b)^{2} + 2 ( a c^{2} ) - b^{4} + 2(b c)^{2} -c^{4} } [/tex]

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: Volume of given prism is 1756.3 cm³.

Step-by-step 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

[tex]\dfrac{\sqrt{3}}{4}\times 13\times 13\\\\=73.17\ sq.\ cm[/tex]

So, volume of prism is given by

[tex]73.17\times 24\\\\=1756.29\ cm^3\\\\=1756.3\ cm^3[/tex]

Hence, Volume of given prism is 1756.3 cm³.

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