Question

11. A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original
cubes and cut-out cubes?
(a) 1:2
for 1:3
(c) 1:4
(d) 1:6
ration​

Answer 1

$\huge\underline\mathbb\red{Question}$ /

A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original

cubes and cut-out cubes?

$\huge\mathbb\blue{ANSWER}$

1:4

Answer 2

Answer:

Cube has 6 faces. The surface area of a cube which has a side of 4cm is 6*4^2=6*16 cm^2. Now, when the cube is cut into the smaller cubes with side of 1cm we'll get 4*4*4=64 little cubes and each will have the surface area equal to 6*1^2=6 cm^2, so total surface are of these 64 little cubes will be 6*64 cm^2.