**Volume with fractional edge lengths :**

Here, we are going to see, how to calculate volume of 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.

Let us see, how to find volume of a cuboid.

The formula to find volume of the above cuboid is

**= Base area x Height**

**or**

**= l x w x h **

Now, let us see, how to find volume of a cube

The formula to find volume of the above cube is

**= Base area x Height**

**or**

**= a x a x a**

**= a****³**

**Problem 1 :**

Find the volume of the cube given below.

**Solution : **

Formula to find volume of the above cube is given below.

**Volume of the cube = a****³**

Plug a = 3 1/2

Volume of cube = (3 1/2)³

Volume of cube = (7/2)³

Volume of cube = (7/2) x (7/2) x (7/2)

Volume of cube = 343 / 8

**Volume of cube = 42 7/8 cubic inches**

**Problem 2 :**

Find the volume of the cuboid given below.

**Solution : **

Formula to find volume of the above cuboid is given below.

**Volume of the cuboid = l x w x h**

Plug, l = 7 1/2 ft, w = 4 1/2 ft and h = 2 1/2 ft

Volume of cuboid = (7 1/2) x (4 1/2) x (2 1/2)

Volume of cuboid = (15/2) x (9/2) x (5/2)

Volume of cuboid = 675 / 8

**Volume of cube = 84 3/8 cubic ft.**

**Problem 3 :**

Find the volume of the cuboid given below.

**Solution : **

Formula to find volume of the above cuboid is given below.

**Volume of the cuboid = l x w x h**

Plug, l = 3.7 cm, w = 4.1 cm and h = 10 cm

Volume of cuboid = 3.7 x 4.1 x 10

**Volume of cuboid = 151.7 cubic cm**

After having gone through the stuff given above, we hope that the students would have understood "Volume with fractional edge lengths".

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