Question

The ratio of total surface area of letarel surface area of a cube of side 2 cm​

Answer 1

Given :-

Side of cube = 2cm

To Find :-

We have to find the Ratio of their total surface and lateral surface area

Solution :-

$\bullet\sf\ \ Total\ surface\ area\ of\ cube= 6a^2\\ \\ \bullet\sf\ Lateral\ Surface\ Area\ of\ cube= 4a^2$

• Where a is the side of cube

Now find the ratio

$\dashrightarrow\sf\ \ \dfrac{T.S.A\ of\ Cube}{L.S.A\ of\ Cube}= \dfrac{6\cancel{a^2}}{4\cancel{a^2}}\\ \\ \\ \dashrightarrow\sf\ \ Ratio= \dfrac{6}{4}\\ \\ \\ \dashrightarrow\sf\ Ratio= \dfrac{3}{2}\\ \\ \\ \dashrightarrow\sf\ \ Or\ \ Ratio= 3:2$

Some other formula related Cube :-

$\star\sf\ \ TSA\ of\ cube= 6a^2\\ \\ \star\sf\ Volume\ of\ cube\ =\ a^3\\ \\ \star\sf\ Diagonal\ of\ Cube= a\sqrt{3}$

Answer 2

Step-by-step explanation:

${\huge{\rm{\underline{\underline{Question:}}}}}$

The ratio of total surface area of laterel surface area of a cube of side 2 cm is....

${\huge{\rm{\underline{\underline{Solution:}}}}}$

$\underline{\boxed{\sf{\green{Total\ surface\ area\ of\ cube\ = \bf{6a^2}}}}}$

$\underline{\boxed{\sf{\green{Lateral\ surface\ area\ of\ cube\ = \bf{4a^2}}}}}$

$\bf{TSA:LSA\:=\:6a^2:4a^2}$

$\bf{TSA:LSA\:=\:6:4}$

$\bf{TSA:LSA\:=\:3:2}$

Hence, the ratio = 3:2

Note:

No need to do anything with the value of Side!