Question

106. If the ratio of the surface areas of two
cubes is 16:36, then the ratio of their sides
will be:​

Answer 1

Answer:

4:6

Explanation:

Total surface area of cube is 6*l^2

so,ratio of their sides is

16:36=6*L^2/6*l^2

taking square root on both sides

L/l=4/6

Answer 2

Solution:-

• Given:-

Ratio of the surface areas of two cubes is 16:36

• To find:-

Ratio of their sides.

• Formula:-

$Total \: surface \: area \: of \:a \:cuboid= {6a}^{2}$------ (where a is sides.)

• By the problem:-

$6 ({a_{1}) }^{2} \:: \: 6 ({a_{2}) }^{2} = 16 \: : \: 36 \\ ({a_{1}) }^{2} \: : \: ({a_{2}) }^{2} = 16 \: : \: 36 \\ ({a_{1}) } \: :\: ({a_{2}) } = 4 \: : \: 6 \\ ({a_{1}) } \: : \: ({a_{2}) } = 2 \: :\: 3$

• Answer:-

2:3

• Conclusion:-

If it is given surface area then we have to take total surface area not lateral surface area .