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8th Grade Math
Definitions and Examples
Volume = l x w x H
Volume = ½ b x h x HH = how tall the figure is
Volume = π x r2 x HH = how tall the figure is
Volume = l x w x H ÷ 3H = how tall the figure is
Volume = π x r2 x H÷ 3H = how tall the figure is
Volume = 4/3 x π x r3
Volume = ½ b x h x H ÷ 3H = how tall the figure is
6
13
Volume = π x 62 x 13
1470.27 cubic units
6
13
12
8
7
Volume = ½ 12 x 8 x 7
336 cubic units
12
8
7
6
20 18
7
Volume = ½ 6 x 7 x 18 ÷ 3
126 cubic units
6
20 18
7
10
12
8
6
Volume = ½ 8 x (10 + 12) x 6
528 cubic units
10
12
8
6
8
5
Volume = π x 52 x 8 ÷ 3
209.44 cubic units
8
5
A camping tent has a triangular end that
measures 8 feet at the base and is 5 feet
tall. The length of the tent is 6 ½ feet.
What is the volume of the tent?
Volume = ½ 8 x 5 x 6.5
130 cubic feet
6.5
8
5
The inside of Ben’s entertainment center
measures 16 inches by 18 inches by 40
inches. Ben estimates that he needs at least
7 cubic feet to fit the new Plasma T.V. Is
there enough room to fit the T.V.?
40 x 16 x 18
11520 inches cubed, but we want cubic feet.
12 inches in a foot cubed = 1728 feet.
11520 ÷ 1728 = 6 2/3 feet cubed; not enough
room
16
18
40
A cone and a cylinder each have a diameter
of 10 cm. A prism and a pyramid each have
square bases that are 10 cm. on a side. All
of the solids have a height of 8 cm. Order
the solids according to their volume from
least to greatest.
Cone, Square Pyramid, Cylinder, Square Prism
8
510
8
5
8
8
10
10
10
π x 52 x 8 ÷ 3
209.44 10 x 10 x 8 ÷ 3
266.67
π x 52 x 8
628.32
10 x 10 x 8
800
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