Question

A cube of volume 64cm is broken into two equal cuboids what is the TSA of each Cuboid ..​

Answer 1

Step-by-step explanation:

Let the side of the cube be a.

Total surface area of a cube=6a

2

Length of the each resulting cuboid is half of the side of the cube =

2

a

.

Height and breadth of the cuboid remain same as the side of the cube a.

Total surface area of a cuboid =2(l×b+b×h+l×h)=2(

2

a

×a+a×a+

2

a

×a)=4a

2

Ratio of the total surface area of the given cube and that of one of the cuboids =6a

2

:4a

2

=3:2

Hope it's helps...♦️⚡