Question

a solid cube is cut into two cuboids of equal volume find the ratio of the total surface area of the given cube and that of one of the cuboid​

Answer 1

The surface area of a cub is 6*(area of one face) = 6LW 

The volume of a cube is LWH 

acube = 6LW 

to make two equal cuboids, we cut the cube in half through its height - LW(.5H) 

The surface area of the cuboid is 

base + top + four sides 

LW + LW + 4(.5HL) 

2LW + 2LH 

acuboid = 2L(W+H) 

so the ratio of the cube to the cuboid is 

acube : acuboid 

6LW : 2L(W+H) 

now, the important part, since we started with a cube L = W = H, so we can simplify 

6LL : 2L(L+L) 

6L^2 : 2L(2L) 

6L^2 : 4 L^2 

6:4 

3:2

Answer 2

here is your answer

I hope you shall be helped