The mass of another cube of the same metal weighs whose sides are twice as long as the first cube is 48 kgs.
What is a Ratio?
A ratio shows us the number of times a number contains another number.
Since mass is the product of density and volume, the ratio of the masses of the two blocks will be equal to the ratio of their volume. Thus, we can write,
(mass₁/mass₂) = (Volume₁/Volume₂)
Now, the volume of a cube is the cube of its side, therefore, if the length of the side of the first block is a, then the length of the side of the third block will be 2a.
(mass₁/mass₂) = a³/(2a)³
(mass₁/mass₂) = 1/8
mass₂ = 8 × mass₁
mass₂ = 8 × 6 kg
mass₂ = 48 kgs
Hence, the mass of another cube of the same metal weighs whose sides are twice as long as the first cube is 48 kgs.
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