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Find the length of cubical box where base is 100cm²​

2 Answers

2 votes

Answer:

So we know the base of a cubical box is a square

Area Of Square = side^2

so 100 = s^2

s = ±10

but the side can't be negative, so the side is 10cm

and the length of a cube is the same as the side of the square's side,

so l = 10cm

User Johan Kool
by
7.2k points
6 votes

Answer:

Length = 10cm

Explanation:

The base area of a cube is given by the formula
\sf \textsf{Area} = s^2, where
\sf s is the length of one side of the cube.

In this case, we've the base area (
\sf \textsf{Area}) is
\sf 100 \ \textsf{cm}^2.

So, we can set up the equation:


\sf s^2 = 100

Now, solve for
\sf s:


\sf s = √(100)


\sf s = 10

Therefore, the length of one side of the cube is
\sf 10 \ \textsf{cm}.

Since all sides of a cube are equal, the length of the cubical box is
\sf 10 \ \textsf{cm}.

User Or Duan
by
7.5k points