Question

If a cube made of clay is cut into 64 small pieces of equal volume, what would be the ratio of the surface area of the original cube to the surface area of anyone of 64 small cubes?​

Answer 1

Answer:

64:1

Step-by-step explanation:

if surface area of original cube is 64cm^2 then area of 1part is 1cm^2 so ratio is 64:1

Answer 2

Answer:

let the side of each small cube is=X

now ....area of small cube is=6(X)^2

now the side of the larger one is =64x

and the area of it

=6×(64x)^2

therefore the ratio is

$\frac{6 \times( 64x) {}^{2} }{6 \times x {}^{2} } \\ = \frac{64 {}^{2} }{1} \\ = \frac{4096}{1} \: \: \:$

=4096:1

.........xD...........✨✨✨