Question

A 100 mm x 100 mm x 100 mm cell has a surface area that is _____ and a volume that is _____. when this volume is broken into many smaller cells, that are 10 mm x 10 mm x 10 mm, the sum of the surface areas of the smaller cells is _____ than the surface area of the initial cell.

Answer 1

Answer: 60,000 mm2; 1,000,000 mm3; larger

The cell has the same length for all of its side which make it have a cubic shape. The area of 100 mm cube would be: 6 * side * side= 6 * 100 * 100 = 60,000 mm2

The volume of the cube would be: side^3= 100mm^3=1,000,000 mm3

If broken into 10mm cube, it would form 1000 cube. The total area of the cube would be: 1000 * 6* 10 * 10= 600,000 mm2