Question

a metallic cube of Edge 8 cm is melted and cast into 8 equal cubes find the total surface area of the 8 new words

Answer 1

Edge of larger cube = 8 cm
Volume of larger cube = 8^3
= 512 cm^3


8 * Volume of 1 smaller cube = Volume of larger cube
Volume of 1 smaller cube = 512 /8
= 64

Edge of smaller cube = cube root 64
= 4 cm

TSA of one smaller cube = 6 * 4 * 4 = 96 cm^2
TSA of 8 smaller cube = 8 * 96 = 766 cm^2