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 = a3;
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.
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 m3 - 13m3
= 1.2705 m3 - 1 m3
= 0.2705 m3
Therefore, the cost of wood = 0.2705 × Rs. 18600
= Rs. 5031.30