Question

How many cubes of side 3 cm are required to build a cube of side 15cm?

Answer 1

(3x)cube = (15)cube
3xcube =1375
x cube=1375÷3
x=1375÷3cuberoot

Answer 2

Answer:

125 cubes required.

Step-by-step explanation:

To find : How many cubes of side 3 cm are required to build a cube of side 15 cm?

Solution :

The side of the small cube = 3 cm

The side of the big cube = 15 cm

Let the number of small cubes required = n

Volume of the cube is $V=side ^3$

To find n we apply the formula

$n = \frac{\text{volume of big cube}}{\text{volume of small cube}}$

→  Volume of small cube

$V=3^3=27$

→  Volume of big cube

$V=(15)^3=3375$

$n = \frac{\text{volume of big cube}}{\text{volume of small cube}}$

$n = \frac{3375}{27}$

$n = 125$

Therefore, The number of cubes required is 125.