Question

Lateral surface area of a cube is 100 m², find the length of each edge.
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Answer 1

≡QUESTION≡

Lateral surface area of a cube is 100 m², find the length of each edge.

                                                                                         

║⊕ANSWER⊕║

SOMETHING YOU SHOULD KNOW FIRST

LSA of a cube = $4a^{2}$

TSA of a cube = $6a^{2}$

Volume of a cube = $a^{3}$

GIVEN

LSA of a cube = $100 m^{2}$

Equating,

$4a^{2} = 100\\a^{2} = 25\\a=5$

∴The length of each cube = 5 m

                                                                                             

Answer 2

Answer:

Length of each edge = 5 m

Step-by-step explanation:

We Have :-

LSA of Cube = 100 m²

To Find :-

Length of each edge

Formula Used :-

LSA of Cube = 4a²

Solution :-

100 = 4a²

a² = 25

a = 5 m

Length of each edge = 5 m