find the volume of wood required to make a closed box of external dimension 80 CM 75 cm and 60 CM the thickness of wall of the box been 270 throughout.
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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
⇒ 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
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