VOLUME WITH FRACTIONAL EDGE LENGTHS

In this section, you will learn, how to find volume of a cube or cuboid with fractional edge lengths. 

Fractional Edge Length :

Fractional edge length is the length of each edge of the cube or cuboid is a fraction.

Volume of a Cuboid - Formula

The formula to find volume of the above cuboid is

= Base Area ⋅ Height

= l ⋅ w ⋅ h

Volume of a Cube - Formula

The formula to find volume of the above cube is

= Base Area ⋅ Height

= a ⋅ a ⋅ a

= a³

Example 1 :

Find the volume of the cube given below.

Solution :

Volume of the cube = a³

Substitute a = 3 1/2.

= (3 1/2)³

= (7/2)³

= (7/2) ⋅ (7/2) ⋅ (7/2)

= 343/8

= 42 7/8 cubic inches

Example 2 :

Find the volume of the cuboid given below.

Solution :

Volume of the cuboid = l ⋅ w ⋅ h

Substitute, l = 7 1/2, w = 4 1/2 and h = 2 1/2.

= (7 1/2) ⋅ (4 1/2) ⋅ (2 1/2)

= (15/2) ⋅ (9/2) ⋅ (5/2)

= 675/8

= 84 3/8 cubic ft.

Example 3 :

Find the volume of the cuboid given below.

Solution :

Volume of the cuboid = l ⋅ w ⋅ h

Substitute, l = 3.7, w = 4.1 and h = 10.  

= 3.7 ⋅ 4.1 ⋅ 10

= 151.7 cubic cm

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