Explain how to find the volume of any composite figure.

Finding the volume of a composites figure is like finding the volume of each individual solid figure. These individual solid figures such as prisms, cylinders, pyramids, cones, and spheres are combined to make three dimensional solids called composites figures. When a composite figure is a three-dimensional geometrical figure, it has a volume that is equal to the amount of space that is inside the figure.

Step-by-step explanation:

you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up

For Example:

A pyramid on top of a rectangular prism. So we are going to start with the rectangular prism (the bottom part) since it will be easier.

FIRST STEP: Find the rectangular prism formula (*)=times)

Prism= B * H
The base shape is 6 by 5
Now it is going to be 6*5= 30
So now we need to multiply the height by 30. The height number =3
So now it is 30*3=90[tex]ft^{3}[/tex]
90[tex]ft^{3}[/tex] is now the volume of the prism

NEXT STEP: Find the pyramid formula

Pyramid= [tex]\frac{1}{3}[/tex] B * H
The base is 6 by 5 also(same as the prism)
Now its, [tex]\frac{1}{3}[/tex] 6*5
= [tex]\frac{1}{3}[/tex] (30 )
Now for the height. The height is given, which is 7
= [tex]\frac{1}{3}[/tex] (30*7)
So parenthesis first, (30*7)=210
[tex]\frac{1}{3}[/tex] (210) (You can also divide 210 by 3, it is the same thing)
=70[tex]ft^{3}[/tex]
70[tex]ft^{3}[/tex] is now the volume of the pyramid

LAST STEP: Add them together

90[tex]ft^{3}[/tex]+70[tex]ft^{3}[/tex]

FINAL ANSWER:

160[tex]ft^{3}[/tex]

Hope this helped :)

ps. sorry if this was too much