Volume of Cube

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.

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 m³ - 1³m³

                                                          = 1.2705 m³ - 1 m³

                                                          = 0.2705 m³

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

                                        = Rs. 5031.30

9th Grade Math

From Volume of Cube to HOME PAGE