Question

How many cubes of 3 cm can be adjusted
within a larger cube of volume 729 cu. cm?
What is the length of the side of the bigger
cube?​

Answer 1

Solution:-

Given:-

Volume of a cube= 729 cubic cm

To find:-

Side of a cube=?

As we know that:-

Volume(Cube)=(Side)³

Since all the sides of a cube are equal to each other.

Let the value of one side of a cube=x cm.

So all the sides are equal to x cm each.

Thus,

• (Side)³=729 cubic cm;
• (x)³=729 cu. cm
• (x)³=(9×9×9) cu.cm
• =(9)³ cu.cm;

so,

• x = (9³)⅓
• x = (9)^3/3
• x =9¹
• x =9 cm.

Therefore each side of a cube is 9 cm.