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Dimensions Maths Problem

Dimensions Maths Problem Solution - 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?

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Solution
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