Ontario 09 Academic (MPM1D)
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Volume of composite solids 2
Lesson

We have already seen how to find the volume of composite solids of varying shapes and sizes.  

We saw that some are formed by putting together a combination of smaller solids, and that some are formed by removing part of a larger solid. 

Now we can look at many different composite solids and consider them in terms of all the solids we know. 

Volume of Solids Covered So Far

$\text{Volume of Prisms }=\text{Area of Base }\times\text{Height of Prism }$Volume of Prisms =Area of Base ×Height of Prism

$\text{Volume of Cube }=s^3$Volume of Cube =s3

$\text{Volume of Rectangular Prism }=lwh$Volume of Rectangular Prism =lwh

$\text{Volume of Cylinder }=\pi r^2h$Volume of Cylinder =πr2h

$\text{Volume of Right Pyramid }=\frac{1}{3}\times\text{Base Area}\times\text{Height of Pyramid}$Volume of Right Pyramid =13×Base Area×Height of Pyramid

$\text{Volume of Right Cone }=\frac{1}{3}\pi r^2h$Volume of Right Cone =13πr2h

$\text{Volume of Sphere }=\frac{4}{3}\pi r^3$Volume of Sphere =43πr3

Worked Examples

Question 1

Find the volume of the figure shown, correct to 2 decimal places.

Question 2

Find the volume of the composite figure shown, correct to 2 decimal places.

 

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