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A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is

(a) 85,000 cm^3 (b) 80,000 cm^3 (c) 82,125 cm^3 (d) 84,000 cm^3

Answer:

The correct answer is option (c) 82,125 cm^3

**Explanation:**

The thickness of the wooden box is 2.5 cm

Then the outer measure of the wooden box be 115+5, 75+5, 35+5

Thus, the outer volume be = (120)(80)(40)

Outer volume = 384000 cm^3

Given that, the inner volume = (115)(80)(40)

Inner volume = 301875 cm^3

Hence, the volume of a wood = Outer volume – Inner volume

V = 384000 – 301875 cm^3

V= 82125 cm^3

"hello students my name is megha and i am
a tutor at lido learning
in this q a video we will explore the
concept of
mensuration the a covered wooden box has
the inner measures as one 15 centimeters
75 centimeter and 35 centimeter
and the thickness of the wood as 2.5
centimeter
the volume of the wood is okay so we
have given the thickness of the box is
2.5 centimeter therefore the outer
measure
outer measure will be equals to let's
write the outer measures
outer measure
will be 115 plus 5
right and which is equals to 120
and 75 plus
5 why we are adding five and not two
point five
because thickness of wood is given for
the
one side and we have to multiply it with
two
so that it is covered two
side it covers two side both the two
sides
this will be equal to 80 and one more
side this is 35 centimeter
plus five this will be equals to
40 centimeter right
now outer volume
outer volume will be equals to ln to be
into h
boxes is rectangular so 120 into 18 to
40
so outer volume will be equals to
384 triple zero
centimeter cube right
now inner volume how do we find inner
volume
inner volume is equals to 115
into 80 into 40 so this will be equal to
inner volume
301 875
centimeter cube right
therefore what we have to find volume of
wood
volume of wood will be equals to
outer volume minus inner volume
so this will be equals to 384 double 0
minus
301875
so this will be equals to
after calculating this will be equals to
8
2 1 2 5
centimeter cube right
if you have any query in this question
please drop a comment below and
subscribe to our channel for more
updates
thank you"

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