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Dimensions Maths Problem

Dimensions Maths Problem - 30 November

There is a box. The area of its top is 240 square units, the area of the front is 300 square units and the area of the end is 180 square units.

Can you calculate the dimensions of this box with the given data?

For Solution : Click Here

3 comments:

  1. Q = 12 units
    R = 15 units

    Explaining
    If you have started looking for a complex formula, we inform you that this requires just the simple algebra equations.

    Let the three sides of the box be P, Q and R.

    Now we know the area of rectangle is l* b.

    P * Q = 240
    P * R = 300
    Q * R = 180

    Let us multiply these three equations:
    (P*Q) (P*R) (R*S) = 240 * 300 * 180
    P^2 * Q ^2 * R^2 = 12960000
    (P*Q*R)^2 = 12960000
    P*Q*R = 3600

    Now we know that P*Q = 240

    Thus R = 3600/240 = 15.

    Similarly putting and solving for other variables, we get
    P = 20 units
    Q = 12 units
    R = 15 units

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