Answer: The volume of the composite figure is
.
Step-by-step explanation:
We know that the volume of a rectanbgular prism is given by :-
Volume = length x width x height
Given, for prism 1 , we have
length of 7 centimeters, width of 5 centimeters, and height of 8 centimeters
Volume of prism 1= ![(7)(5)(8)=280\text{ cm}^3](https://tex.z-dn.net/?f=%287%29%285%29%288%29%3D280%5Ctext%7B%20cm%7D%5E3)
Given, for prism 2 , we have
length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters.
Volume of prism 2= ![(10)(7)(4)=280\text{ cm}^3](https://tex.z-dn.net/?f=%2810%29%287%29%284%29%3D280%5Ctext%7B%20cm%7D%5E3)
Now , the volume of the composite figure = Volume of prism 1+ Volume of prism 2
![=210\text{ cm}^3+210\text{ cm}^3=420\text{ cm}^3](https://tex.z-dn.net/?f=%3D210%5Ctext%7B%20cm%7D%5E3%2B210%5Ctext%7B%20cm%7D%5E3%3D420%5Ctext%7B%20cm%7D%5E3)
Hence, the volume of the composite figure is
.