Two cubes of edge 10 m each joined together to form a single cuboid. The ratio of the total surface area of one of the cubes and that of the single cuboid formed is ______.

Options

A. `5:3`
B. `2:1`
C. `3:5`
D. `1:2`

Answer

C

Explanation

`"Total surface area of original cube "=6xx10^(2)`
`=6xx100=600m^(2)`
The length of the cuboid formed = 10 + 10
= 20 m and breadth = height = 10 m
`therefore "Total surface area of the cuboid"`
`=2(20xx10+10xx10+10xx20)=2(200+100+200)`
`=2xx500=1000m^(2)`
The required ratio = `600:1000=6:10=3:5`