Question

8. The volume of a cubical box is 21952 m3. Find the length of side of the box.
9. Three numbers are in the ratio 3: 4: 5. If their product is 480, find the numbers.
10. Two numbers are in the ratio 4 : 5. If difference of their cubes is 61, find the​

Answer 1

8.

Given

Volume = 21952 m³

its is a cube

To Find

Side of each side

Solution

Let the side of each side be a

Volume of cube is = (side)³

21952 = a³

Cube root of 21952 = a

a = 28 m

Answer 2

Question-1

Solution

The volume of box=21952

side³=21952

side=28m

Question-2

let

the number be 3x, 4x, 5x

the products of this no=480

=>3x * 4x * 5x = 480

=>60x³ = 480

=>x³=8

=> x=2

so, number are 6, 8, 10

Question-3

let. the two no be 4x and 5x

the difference of their cube=61

=> (5x)³ - (4x)³ = 61

=> 125x³ - 64x³= 61

=> 61x³=61

=>x=1

so, no are 4 and 5