a box with a lid is made of wood which is 2 cm thick . its external length , breadth and height are 58 cm ,42 cm , and 34 cm respectively . find the. capacity of box . also find volume of wood used to make the box . please solve this problem
A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm , 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
Question
Solution
Outer length of the closed wooden box (l)=25 cm Breadth (b)=18cm and height (h)=15mWidth of wood=2cm∴Inner length=2-2×2=25−4=21 cm Breadth = 18−2×2=18−4=14cmandheight15−2×2=15-4
=11cmNow outer volume=25×18×15cm3=6750 cm 3 and inner volume=21×14×12cm3
=3234cm
(i) Volume of liquid that can be placed = Inner volume=
Answers & Comments
Answer:
Volume of wood = l×b×h
= 58cm × 42cm × 34cm = 82824cu cm
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A box with lid is made of 2 cm thick wood. Its external length, breadth and height are 25 cm , 18 cm and 15 cm respectively. How much cubic cm of a liquid can be placed in it? Also, find the volume of the wood used in it.
Question
Solution
Outer length of the closed wooden box (l)=25 cm Breadth (b)=18cm and height (h)=15mWidth of wood=2cm∴Inner length=2-2×2=25−4=21 cm Breadth = 18−2×2=18−4=14cmandheight15−2×2=15-4
=11cmNow outer volume=25×18×15cm3=6750 cm 3 and inner volume=21×14×12cm3
=3234cm
(i) Volume of liquid that can be placed = Inner volume=
3234cm
3
=6750−3234
=3516cm
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