Question

if cube is divided in 4 equal parts then what will be the percentage increase in surface area of cube​

Answer 1

Answer:

100%

Step-by-step explanation:

Consider the side of cube as 4cm.

Surface Area of Cube - 6 x 4² cm² =  96 cm² (Since cube has 6 sides)

Cube is divided into 4 parts, of 1 cm x 4cm rectangular prism each.

Surface Area of rectangular cube of 4 x 1  prism will be -

2 Top -  ( 1 x 4 ) x 2 - 8

2 Front - ( 4 x 1 ) x 2 - 8

2 Side - ( 4 x 4 ) x 2 - 32

Total Surface Area of rectangular prism - 48 cm²

Now we have 4 such rectangular prism. So total surface area = 4 x 48  = 192 cm²

Increase in Surface Area =  96 cm² over base area of 96 cm² of cube.

So increase is 100%.