Here we will learn how to solve the application problems on Volume of cube using the formula.

Formula for finding the volume of a cube

**Volume of a
Cube (V) = (edge) ^{3} = a^{3};**

**where a = edge**

A cubical wooden box of internal dimensions 1 m × 1 m × 1 m is made of 5 cm thick wood. The wood costs Rs. 18600 per cubic metre. If the box is open at the top, find the cost of wood required for making the box.

**Solution:**

Clearly, the outer dimensions of the box are as follows

The outer length = 1 m + 2 × 5 cm = 1.10 m

The outer breadth = 1 m + 2 × 5 cm = 1.10 m

The outer height = Inner height + 5 cm (since, the box is open at the top)

= 1.05 m

Therefore, the volume of wood required = Volume of the outer cuboid - volume of the inner cube

= 1.10 × 1.10 × 1.05 m^{3} - 1^{3}m^{3}

= 1.2705 m^{3} - 1 m^{3}

= 0.2705 m^{3}

Therefore, the cost of wood = 0.2705 × Rs. 18600

= Rs. 5031.30

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