Q24 of 24 Page 236

A box with a lid is made of 2cm thick wood. Its external dimensions are 25cm × 18cm × 15cm. How many cm3 of rice can be placed in it? Also, find the volume of wood used in the box.

Given,


Dimensions of box


Length (L) = 25 cm


Breadth (B) = 18 cm


Height (H) = 15 cm


Thickness (t) = 2cm


Internal Dimensions of box


l = L -2t = 25 -4 = 21 cm


b = B -2t = 18 -4 = 14 cm


h = H -2t = 15 -4 = 11 cm


Outer Volume of the box = L × B × H


= 25 × 18 × 15


= 6750 cm3


inner Volume of box = l × b × h


= 21 × 14 × 11


= 3234 cm3


⇒ Amount of rice that can be stored is 3234 cm3


Volume of wood used = Outer volume – inner volume


= 6750 – 3234


= 3516cm3


So, 3234 cm3 of rice can be stored and wood used is 3516 cm3


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