Measurement

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 =`s`3

$\text{Volume of Rectangular Prism }=lwh$Volume of Rectangular Prism =`l``w``h`

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

$\text{Volume of Right Pyramid }=\frac{1}{3}\times\text{Base Area}\times\text{Height of Pyramid}$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 =13π`r`2`h`

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

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

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

Calculate volumes, including prisms, pyramids, cones, and spheres, using formulae

Apply measurement in solving problems