If 160 L of molten
metal is cast into 20
identical cubes, how
many litres of paint
will be required to
paint all the cubes
completely with a
uniform thickness of
1 cm?
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Step-by-step explanation:
Given If 160 L of molten metal is cast into 20 identical cubes, how many litres of paint will be required to paint all the cubes completely with a
uniform thickness of 1 cm?
- Given Volume of 20 identical cubes = 160 litres.
- We have 1 litre = 1000 cm^3
- So 160 litres = 1000 x 160
- = 1,60,000 cm^3
- So volume of 20 cubes will be 1,60,000
- Therefore volume of one cube will be 1,60,000 / 20
- = 8000 cm^3
- So we have volume of a cube = a^3
- Or a^3 = 8000
- Or a^3 = 20^3
- Or a = 20 cm
- So the side is 20 cm
- Now total surface area of a cube is 6 a^2
- = 6 (20)^2
- = 6 x 400
- = 2400 cm^2
- Now thickness of each surface is 1 cm
- Therefore volume of paint required will be 2400 x 1 = 2400 cm^2
- So volume of paint required for 20 cubes will be 2400 x 20
- = 48,000 cm^3
- So 1000 cm^3 will make 1 litre
- Therefore 48,000 cm^3 will make 48,000 / 1000
- = 48 litres.
Reference link will be
https://brainly.in/question/26091921
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