Answer: The volume of the composite figure is [tex]420\text{ cm}^3[/tex].
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= [tex](7)(5)(8)=280\text{ cm}^3[/tex]
Given, for prism 2 , we have
length of 10 centimeters, width of 7 centimeters, and height of 4 centimeters.
Volume of prism 2= [tex](10)(7)(4)=280\text{ cm}^3[/tex]
Now , the volume of the composite figure = Volume of prism 1+ Volume of prism 2
[tex]=210\text{ cm}^3+210\text{ cm}^3=420\text{ cm}^3[/tex]
Hence, the volume of the composite figure is [tex]420\text{ cm}^3[/tex].
