Multiple choice

The volume of a rectangular solid each of whose side, front and bottom faces are 12 sq.cm., 8 sq. cm., and 6 sq. cm. respectively, is:

  1. 576 cu. cm.

  2. 24 cu. cm.

  3. 9 cu. cm.

  4. 104 cu. cm.

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let dimensions be l, w, h. lw = 12, lh = 8, wh = 6. Multiplying these: (lwh)^2 = 12 * 8 * 6 = 576. Thus lwh = sqrt(576) = 24.

AI explanation

Let the dimensions of the rectangular solid be length l, width w, and height h. The areas of the side, front, and bottom faces give the equations l*w = 6, w*h = 8, and l*h = 12. Multiplying these three equations together yields (l*w*h)^2 = 6 * 8 * 12 = 576. The volume is l*w*h, which equals the square root of 576, giving 24 cu. cm.

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