Answer:
[tex]\large\boxed{V=630\ mm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a prism:
[tex]V=A_BH[/tex]
[tex]A_B-area\ of\ a \ base\\H-height[/tex]
In the base we have the right triangle. Calculate the area:
[tex]A_B=\dfrac{1}{2}bh[/tex]
[tex]b-base\\h-height[/tex]
We have b = 15 mm and h = 12 mm. Substitute:
[tex]A_B=\dfrac{1}{2}(15)(12)=(15)(6)=90\ mm^2[/tex]
Calculate the volume:
[tex]A_B=90\ mm^2,\ H=7\ mm\\\\V=(90)(7)=630\ mm^3[/tex]
