Question

The volume of a cuboid with length, breadth and height as 5x, 3x2 and 7x4 respectively is:​

Answer 1

Answer:

The volume of a cuboid with length, breadth and height as 5x units, 3x2 units and 7x4 units respectively is 105X^7 cubic units.

Step-by-step explanation:

Answer 2

Given : A cuboid with length, breadth and height as 5x, 3x² and 7x⁴ respectively.

To find : The volume of the cuboid.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the volume of the given cuboid)

Here, we will be using the following mathematical formula.

Volume of a cuboid = Length × Breadth × Height

By, putting the available data in the above mentioned mathematical formula, we get :

Volume of the cuboid = (5x × 3x² × 7x⁴)

or, Volume of the cuboid = (5 × x × 3 × x² × 7 × x⁴)

or, Volume of the cuboid = (5 × 3 × 7) × (x × x² × x⁴)

or, Volume of the cuboid = (5 × 3 × 7) × (x¹ × x² × x⁴)

or, Volume of the cuboid = (105) × [(x¹ × x²) × x⁴]

or, Volume of the cuboid = (105) × [(x)⁽¹⁺²⁾ × x⁴]

or, Volume of the cuboid = (105) × (x³ × x⁴)

or, Volume of the cuboid = (105) × (x)⁽³⁺⁴⁾

or, Volume of the cuboid = 105 × x⁷

or, Volume of the cuboid = 105x⁷

(This will be considered as the final result.)

Other formulas which are being used :

• (x)¹ = x
• (x)ᵃ × (x)ᵇ = (x)ᵃ⁺ᵇ

Hence, the volume of the cuboid is 105x⁷