Answer:
1,950 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below;
As we know that
[tex]V=B\times h[/tex]
where,
V = Volume of the prism
B = Area of the base
h = height of the prism
But before that, we need to do the following calculations
a. Area of rectangle is
[tex]= length \times breadth[/tex]
[tex]= 13 \times 10[/tex]
[tex]= 130\ units ^2[/tex]
b. Now the height of the prism which could find out by using the Pythagoras theorem
[tex]17^{2}=8^{2} +h^{2}h^{2}=17^{2}-8^{2}h^{2}=225h = 15\ units[/tex]
So, the volume of the prism is
[tex]= 130 \times 15[/tex]
= 1,950 cubic units
