Question 23
A covered wooden box has the inner measures as 115 cm, 75 cm and 35 and thickness of wood as 2.5. cm. The volume of the wood is
(a) 85000 cm3 (b) 80000 cm3
(c) 82125 cm3 (d) 84000 cm3
Given, inner measures of a wooden box as 115 cm, 75 cm and 35 cm.
Since, thickness of the box is 2.5 cm, then outer measures will be 115 + 5, 75 + 5 and 35 + 5, i.e. 120 cm, 80 cm and 40 cm.
∴ The outer volume =120×80×40=384000 cm3
and the inner volume =115×75×35=301875 cm3 [∵ volume of cuboid =l×b×h]
∴ Volume of the wood = Outer volume - Inner volume
=384000−301875=82125cm3