2) The two solid blocks represented in the diagram are made of the same material and are under the same temperature and pressure conditions. If the mass of block X is 54 grams, what is the mass of block Y?
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Answer:
54 g
Explanation:
We'll begin by calculating the density of X. This can be obtained as follow:
Mass of X = 54 g
Length (L) = 9 cm
Breadth (B) = 2 cm
Height (H) = 1 cm
Volume of X = L × B × H
Volume of X = 9 × 2 × 1
Volume of X = 18 cm³
Density of X =?
Density = mass /volume
Density of X = 54/18
Density of X = 3 g/cm³
Finally, we shall determine the mass of Y as follow:
Length (L) = 3 cm
Breadth (B) = 3 cm
Height (H) = 2 cm
Volume of Y = L × B × H
Volume of Y = 3 × 3 × 2
Volume of Y = 18 cm³
Density of Y = Density of X (since they are made of the same material)
Density of X = 3 g/cm³
Density of Y = Density of X = 3 g/cm³
Mass of Y =.?
Density = mass /volume
3 = mass of Y /18
Cross multiply
Mass of Y = 3 × 18
Mass of Y = 54 g