# A closed box is made up of 2cm thick wood with external dimensions 84cm*75cm*64cm find the volume of the wood required to make the box

1
by vipinHayre375

## Answers

2015-05-11T11:43:37+05:30

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GIVEN ;-

⇒ Thickness of the closed box = 2 cm

⇒ External dimensions of the closed box = 84 cm× 75 cm× 64 cm

TO FIND ;-

⇒Volume of wood required to make the wood = ?

SOL ;-

Let us first find the volume of wood with the given dimensions -

⇒ So volume of wood =  84   ×  75  ×  64

⇒ 403200 cm³

Now we got the volume of wood but in the question it is asked that - we need to find out the required volume of wood. so  by using the given formula we can find out the  required volume of wood .

Volume of wood =  inner dimensions - outer dimension

So the thickness of wood is 2 cm. [ Given ]

Let us find the value of inner dimension -

⇒  {84 -  2} × {75 - 2} ×  {64 - 2}

⇒       82    ×   73      ×   62

371123  cm³ is the inner dimension

⇒ Therefore volume of required wood -

⇒ Volume of required wood  = inner dimension - outer dimension

=
403200       -    371123

=
32077 cm³

VOLUME OF REQUIRED WOOD = 32077 CM
³