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?
Answers
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.
Given :640 L of molten metal is cast into 10 identical cubes,
To Find : how many litres of paint will be required to paint all the cubes completely with a uniform thickness of 1 cm
Solution:
640 L of molten metal for10 cubes
Hence 64L for 1 cube
=> 64000 cm³ for 1 cube
=> Side of cube = ∛64000 = 40 cm
Total Surface area of cube = 6 * 40² = 9600 cm²
Thickness at each surface = 1 cm
Hence Volume of Paint Required in one cube = 9600 * 1 = 9600 cm³
=9.6 L
Volume of Paint Required in 10 cubes = 10 * 9.6 = 96 Litre
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