The volume of the second parallelepiped will be 1 cm³. According to the given conditions, α is 50% of a, β is 20% of b and γ is 10% of c.
What is volume?
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
Given condition;
α is 50% of a, β is 20% of b and γ is 10% of c
α = a/2
β = b/5
γ = c/10
The volume of the first parallelepiped:
V = abc
100cm³=abc
The volume of the second parallelepiped:
[tex]\rm V'= \alpha \times \beta \times \gamma \\\\ \rm V'= \frac{a}{2} \times \frac{b}{5} \times \frac{c}{10} \\\\ V' = \frac{abc}{100} \\\\ V'=\frac{100}{100} \\\\ V' = 1 cm^3[/tex]
Hence, the volume of the second parallelepiped willl be 1 cubic meter.
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