Question

The oblique prism has a rectangular base with a width of 10 units and a length of 13 units.

Answer 1

we know that

The volume of the prism is equal to

$V=B*h$

where

B is the area of the base

h is the height of the prism

Step 1

Find the area of the rectangular base

we know that

the area of a rectangle is equal to

$A=L*W$

In this problem we have

$L=13\ units$

$W=10\ units$

$A=13*10=130\ units^{2}$

Step 2

Find the height of the prism

Applying the Pythagoras Theorem

$17^{2}=8^{2} +h^{2}$

solve for h

$h^{2}=17^{2}-8^{2}$

$h^{2}=225$

$h=15\ units$

Step 3

Find the volume of the prism

The volume of the prism is equal to

$V=B*h$

substitute the values

$V=130*15=1,950\ units^{3}$

therefore

the answer is

$1,950\ units^{3}$

Answer 2

Answer:

1,950

Step-by-step explanation: