Q. 245.0( 1 Vote )
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.
Answer :
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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