Math, asked by bvhs200, 3 months ago

: If the amount requires to paint an area of 1 sq. cm is Rs. 2, then the

expenditure (in Rs.) to paint all the outer surfaces of a cubical box of length 20 cm is​

Answers

Answered by sreekaraitha0786
11

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Answered by bhagyashreechowdhury
1

The expenditure (in Rs.) to paint all the outer surfaces of a cubical box of length 20 cm is​ Rs. 4800.

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Let's understand a few concepts:

To solve the given problem we will use the following formula for the total surface area of a cube:

\boxed{\bold{Total \:surface\:area \:of \:cube = 6 \times side^2 = 6a^2}}

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Let's solve the given problem:

The length of each side of the given cubical box (a) = 20 cm

We need to paint all the outer surfaces of the cubical box which means that we need to calculate the total surface area of the box.

Therefore,

The total surface area of the cubical box is,

= Total Surface Area of a cube

= 6a^2

= 6\times (20)^2

= 6\times 400

= 2400 \:cm^2

Now,

If the cost of painting an area of 1 sq cm of the box = Rs. 2

Then,

The cost of painting an area of 2400 cm² of the box will be,

= Rs. \:2/cm^2\:\times \: 2400 cm^2

= \bold{Rs.\:4800}

Thus, the total expenditure to paint all the outer surfaces of the cubical box is Rs. 4800.

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