Math, asked by arifchoksi, 7 months ago

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?​

Answers

Answered by kokejatt24
0

tell me fast please please

Answered by knjroopa
0

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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