If 640 L of molten metal is cast into 10 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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Answer:
100.88 L
Step-by-step explanation:
Given,
Total volume of the molten metal = 640 litres
Total number of cubes = 10
Thickness of paint layer = 1 cm
To find,
The required amount of paint.
Solution,
Total volume of the molten metal
= 640 litres
= 640000 cm³
Volume of one cube = 640000/10 = 64000 cm³
Length of Side of one cube = ³✓64000 = 40 cm
Length of the cube with paint layer = 40 + (2×1) = 42 cm
Volume of the cube with paint layer
= (42)³
= 74088 cm³
Volume of the paint = 74088-64000 = 10088 cm³
Total volume of the paint = 10088×10 = 100880 cm³ = 100.88 litres
Hence, 100.88 litres of paint will be required.
HOPE THIS HELPS !
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