VOLUME
by Scott J.
These volume formulas that you will see a little later on this page are the new volume formulas for grade nine. There will be five of them and they are all important. Volume is how you measure how much a container can hold, whether it is a liquid or a solid.
Examples:
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Here is a cone with a radius of 6 cm and height of 12 cm.
V = (pi x 62 x 12) ÷ 3
V = (pi x 36 x 12) ÷ 3
V = 1357.2 ÷ 3
V = 452.4 cm3
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Here is a cylinder with a radius of 9 cm and a height of 17 cm.
V = (pi x 92 x 17) ÷ 3
V = (pi x 81 x 17) ÷ 3
V = 4326.0 ÷ 3
V = 1442 cm3
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Here is a rectangular based pyramid with a length of 5 cm, a width of 5 cm and a height of 11 cm.
V = (5 x 5 x 11) ÷ 3
V = 275 ÷ 3
V = 91.7 cm3
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Here is a rectangular prism with a length of 7 cm, a width of 9 cm and a height of 22 cm.
V = 7 x 9 x 22
V = 1386 cm3
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Here is a triangular based pyramid with base of 3 cm, a base height of 4 cm, and a height of 7 cm.
V = (0.5 x 3 x 4 x 7) ÷ 3
V = 42 ÷ 3
V = 14 cm3
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