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For example

1st layer = 4 x 3 = 12 cubes

Total layers = 3

∴ Volume = 12 x 3 = 36 cu. Cm

But this method is not accurate. So we use a formula to find the Volume-rectangular prism.

Volume of Rectangular Prism = l x w x h |

1) A swimming pool is of length 25 m x 10 m x 3 m. The water is filled up to a depth of 2.5 meters. What is the quantity of water in the pool in kilo- liter and liter.

Volume = l x w x h

⇒ 25 x 10 x 2.5 = 625 m

1 kl = 1 m

And 1kl = 1000 l ∴ 625 m

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2) The dimensions of a rectangular prism are in the ratio 5 : 3 : 2. Its volume is 21870 cm

Volume = V = 5x X 3x X 2x

⇒ 30x

x

x

x = cube root of (729)

x = 9

∴ Dimensions are, length = 5x = 5(9) = 45 cm

Width = 3x = 3(9) = 27 cm and height = 2x= 2(9) = 18 cm

∴ Total surface area = 2 (lw + wh + lh)

= 2 ( 45 x 27 + 27 x 18 + 45 x 18)

= 2 x 2511

Total surface area = 5022 cm

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3) The area of the floor of a room is 67.5 m

Volume = 270 m

Volume =

270 = 67.5 x h

∴ h = 270 / 67.5

∴ h = 4 cm.

• Volume Formulas

• Volume of Irregular Shape

• Volume of Cube

• Volume of Rectangular Prism(Cuboid)

• Volume of Cylinder

• Volume of Cone

• Volume of Sphere

• Volume of Hemisphere

• Volume of Prism

• Volume of Pyramid

8th grade math

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