Question

find the side of cube whose lateral surface area is 145cm^2
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Answer 1

Given :

LSA of cube is $145$ $cm^{2}$.

To find :

The side of the cube.

Step-by-step explanation:

• Let the side of the cube be $a$. LSA of the cube goes by

      $LSA=4a^{2}$

• Substitute the values in the given formula.

      $145=4a^{2}$

• Take 4 to the other side

      $a^{2} =\frac{145}{4}$

• Divide the value.

      $a^{2} =36.25$

• The value of $a$ is ± $6.02$.
• The length cannot be negative.
• Therefore, side of a is $6.02$ $cm$.

Final answer :

The side of cube is $6.02$ $cm$.