Question

3 equal cubes are placed adjacently in a row. find the ratio of total surface area of resulting cuboid to that of the sum of total surface area of 3 cubes​

Answer 1

Answer:

Given, three cube are placed adjacent in a row to form a cuboid.

Let the side of cube be a, three cube placed in row then breadth of cuboid be a, length of cuboid is 3a, height of cuboid is a.

Sum of total surface area of three cubes =6a2+6a2+6a2=18a2

Total surface area of resulting cuboid =2(lb+bh+lh)=2(3a×a+a×a+3a×a)=2(7a2)=14a2

Ratio of total surface area of cuboid to that of cube =18a214a2=97=7:9

HOPE IT HELPS!!!!!!!!!