Volume
Volume—the amount of space contained inside a solid
Ø Measured in cubic units: in3, ft3, yd3, cm3, m3
Volume Congruence Postulate
Congruent polyhedra have the same volume.
Volume Addition Postulate
The volume of a solid is the sum of the volumes of all its nonoverlapping parts.
Volume of a Prism
B–area of the base
h–height
Volume of a Cube
1
Volume
Find the volume of the prism.
16 cm
8 cm
10 cm
Find the volume of the prism.
8 cm
6 cm
10 cm
2
Volume
Volume of a Cylinder
Find the volume of the cylinder.
4 cm
12 cm
3
Volume
Volume of a Pyramid
l
B–area of the base
h–height
Find the volume of the pyramid.
4
Volume
Find the volume of the pyramid.
5 cm
6 cm
6 cm
6 cm
Volume of a Cone
l
5
Volume
Find the volume of the cone.
15 cm
8 cm
Volume of a Sphere
6
Volume
Find the volume of a sphere with a radius of 12 cm.
Find the radius of a sphere with a volume of 904.78 ft3.
7