Maths-
General
Easy

Question

Find and simplify the ratio of the volume of Figure A to the Volume of Figure B.

hintHint:

Volume of a cuboid is given by:
.V equals l b h
We are asked to find the ration of the volume of figure A to figure B.

The correct answer is: 3 (x + 1)/2 (x + 2)


    Step 1 of 2:
    The given figures are cuboid. The volume of a cuboid is, , where l,b and h are length, breadth and the height of the cuboid.
    For figure A:
    V equals l b h
    equals 3 x left parenthesis x right parenthesis left parenthesis x plus 1 right parenthesis
    equals 3 x squared left parenthesis x plus 1 right parenthesis
    equals 3 x cubed plus 3 x squared
    For figure B:
    V equals l b h
    equals x plus 2 left parenthesis x right parenthesis left parenthesis 2 x right parenthesis
    equals left parenthesis x plus 2 right parenthesis open parentheses 2 x squared close parentheses
    equals 2 x cubed plus 4 x squared
    Step 2 of 2:
    Now, find the ratio of the found volume of the figure A to figure B. Thus, we have:
    fraction numerator 3 x cubed plus 3 x squared over denominator 2 x cubed plus 4 x squared end fraction equals fraction numerator 3 x squared left parenthesis x plus 1 right parenthesis over denominator 2 x squared left parenthesis x plus 2 right parenthesis end fraction
    equals fraction numerator 3 left parenthesis x plus 1 right parenthesis over denominator 2 left parenthesis x plus 2 right parenthesis end fraction

    Ratio between two values can be written as x colon y text  or  end text x over y.

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