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The outer dimensions of a closed box are 42 cm, 30 cm and 20 cm. If the box is made up of wood of thickness 1 cm, determine the volume of wood used.
- A5040 cm3
- B5070 cm3
- C4020 cm3
- D5645 cm3
Answer not set
Discussion 1
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CCommunity
⇒ Outside volume of the box = 42 x 30 x 20 cm3
⇒ Outside volume of the box = 25200 cm3
Since the thickness is 1 cm, the dimensions of inner cuboid are 2 less than the dimensions of Outer cuboid
⇒ Inner volume of the box = 40 x 28 x 18 cm3
⇒ Inner volume of the box = 20160 cm3
⇒ Volume of wood = 25200 – 20160 cm3
∴ Volume of wood used is 5040 cm3
⇒ Outside volume of the box = 25200 cm3
Since the thickness is 1 cm, the dimensions of inner cuboid are 2 less than the dimensions of Outer cuboid
⇒ Inner volume of the box = 40 x 28 x 18 cm3
⇒ Inner volume of the box = 20160 cm3
⇒ Volume of wood = 25200 – 20160 cm3
∴ Volume of wood used is 5040 cm3