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To calculate the volume of rectangular prism or cuboid, count the number of small cubes in one layer. Next count how many cubes are there in the next layer and in the layer next. This gives the total Volume-rectangular prism.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

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