Maths-
General
Easy

Question

The volume of a cubical box is 12167 cm3. Find the side of the box and its 6 sides area?

hintHint:

find the length of the side of the cube  and then find the area of 6 sides   .

The correct answer is: 3174 cm2


    Length of the side of the box is 23 cm. Area of each side is 529 .
    Area of 6 sides combined = 3174 cm2.
    Explanation :-
    Step1:- find the length of side of the cube
    Let the length of the side of the cube be a .
    The volume of cube = a cubed
    Then, a cubed equals 3174 equals 23 cross times 529 equals 23 cross times 23 cross times 23 equals 23 cubed
    The length of the side of the square is 23 cm .
    Step2:- find the  side area of the cube
    The side are  of the cube = a squared equals 23 squared equals 529 cm squared
    Step 3:- find the side area of 6 sides .
    In the cube the side area of all sides is equal so, we get as the area of  6 sides.
    The side area of 6 sides = .6 straight a squared equals 6 cross times 23 squared equals 6 cross times 529 equals 3174 cm squared
    We get that Length of the side of the box is 23 cm. Area of 6 sides combined = 3174 cm2

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