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23 July, 02:07

The side length of a cube is √7 cm.

Which answer is a rational value?

The volume.

The perimeter of the front square.

The diagonal of the back square.

The total area of the top and bottom squares.

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  1. 23 July, 02:12
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    The answer is The total area of the top and bottom squares. s = √7 cm is irrational value and we need rational value. Let's check all choices: A. The volume. V = (s) ^3. If s = √7, V = (√7) ^3 = 7√7 - irrational value. B. The perimeter of the front square. P = 4 * s = 4 * √7 = 4√7 - irrational value. C. The diagonal of the back square. d = s√2 = √7 * √2 = √ (7*2) = √14 - irrational value. D. The total area of the top and bottom squares. A = 2 * s^2 = 2 * (√7) ^2 = 2 * 7 = 14 - rational value.
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