Question

What is the volume of the triangular prism Hight 10in Base 14 in Length 6

Answer 1

Answer:

$V=336\ in^3$

Step-by-step explanation:

Triangular Prism

Given a triangular prism of base area A and height H, its volume is obtained with the formula:

V = AH

The area of the base is calculated as follows:

$A = \frac{WL}{2}$

Where W is the width and L is the length. Both dimensions must be perpendicular.

The triangle of the base has a hypotenuse equal to 10 in and the width is 6 in, the length is calculated by:

$L=\sqrt{10^2-6^2}$

$L=\sqrt{100-36}=\sqrt{64}$

L = 8 in

The area is:

$A = \frac{6*8}{2}$

$A = 24\ in^2$

Finally, the volume is:

$V = 24\ in^2*14\ in$

$\boxed{V=336\ in^3}$