A closed rectangular box measuring 72 cm by 54 cm by 48cm externally is made of wood 1.5cm thick. What is the mass of the box ,if the wood used weighs 0.9 g/cm cube
Answers
Answered by
111
External dimensions = 72cm × 54cm × 48cm
External volume = 72×54×48 = 186624 cm^3
Thickness = 1.5cm
Internal dimensions:
Internal length = 72 - 1.5 - 1.5 = 69cm
Similarly breath = 54 - 1.5 - 1.5 = 51cm
height = 48 - 1.5 - 1.5 = 45 cm
Internal volume = 69×51×45= 158355 cm^3
Volume of wood = 186624 - 158355 = 28269 cm^3
wood weighs 0.9g per cm^3
weight = 28269 × 0.9 = 25442g = 25.442 kg
Weight of box = 25.442 kg
External volume = 72×54×48 = 186624 cm^3
Thickness = 1.5cm
Internal dimensions:
Internal length = 72 - 1.5 - 1.5 = 69cm
Similarly breath = 54 - 1.5 - 1.5 = 51cm
height = 48 - 1.5 - 1.5 = 45 cm
Internal volume = 69×51×45= 158355 cm^3
Volume of wood = 186624 - 158355 = 28269 cm^3
wood weighs 0.9g per cm^3
weight = 28269 × 0.9 = 25442g = 25.442 kg
Weight of box = 25.442 kg
Similar questions