Question

A solid cube of volume 13824 cu cm is cut into 8 cubes of equal volume. Find ratio of the surface area of bigger cube and smaller cube.

Answer 1

I hope u understand

Answer 2

Answer:

4:1

Step-by-step explanation:

Volume of bigger cube = 13824 cu cm

Volume of cube = $Side^3$

So,  $13824 =Side^3$

$\sqrt[3]{13824}=Side$

$24=Side$

Side of big cube = 24

Surface area of big cube = $6a^2=6(24)^2=3456$

A solid cube of volume 13824 cu cm is cut into 8 cubes of equal volume

So, Volume of each cube =$\frac{13824}{8}=1728cm^3$

$1728 =Side^3$

$\sqrt[3]{1728}=Side$

$12=Side$

Side of big cube = 12

Surface area of small cube = $6a^2=6(12)^2=864$

So, ratio of the surface area of bigger cube and smaller cube = 3456:864=4:1

Hence ratio of the surface area of bigger cube and smaller cube is 4:1