Q26 of 35 Page 74

The length of the dimensions of 2 cuboids are 4,6,4 units and 8, (2h-1) , 2 units respectively. If the volume of 2 cuboids are equal, then let us write the value of h.

volume of 1st cuboid = length breadth × height


= 4 × 6 × 4 = 96 cubic unit


Volume of 2nd cuboid = length breadth × height =


8 × (2h-1) × 2 = 32h-16


Given, volumes are equal.


So, 32h-16 = 96


⇒ 32h = 96 + 16 = 112


⇒ h =


h = 3.5 units.


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