to find the dimensions of a box given the number of balls each of radius 1cm

Answer 1

Assuming that the box is a cube with equivalent side lengths: L=W=H

Volume of Cube = L x W x H or (side length)³

Volume of a sphere (the ball) = π x r²

If the radius of the Ball = 1cm and 1² = 1

The volume of the Ball would be calculated as π x 1 = π

# of Balls x π = total volume of box(cube)

Finally calculate the cubic root of the previous product to determine the length of one side

Answer 2

Draw a picture. each ball is 1 cm. So, if, for example, there are 4 length, 4 width, and 4 depth balls, then, 4 x 4 x 4 = 64 cubic cm. You've not given any dimensions, so a solution is not possible.