# The volume of the rectangular parallelepiped is 84 cm3. This parallelepiped was divided into two parts

The volume of the rectangular parallelepiped is 84 cm3. This parallelepiped was divided into two parts. Find the volume of each part if: a) the volume of one part is 6 times higher than the volume of the other. b) the volume of one part is 40 cm cubed more than the volume of the other.

a) Let’s represent the volume of one part as x, and the volume of the second part as 6 * x. The volume of the whole parallelepiped is 84 cm³. Let’s compose and solve the equation.

x + 6 * x = 84 cm³.

7 * x = 84 cm³.

x = 12 cm³

Let’s find the volume of the second part: 84 cm³ – 12 cm³ = 72 cm³.

b) If the volume of one part is 40 cm³ larger than the other, then we make the following equation.

x + 40 cm³ + x = 84 cm³.

2 * x = 44 cm³.

x = 22 cm³.

The volume of the second part is equal to: 22 cm³ + 40 cm³ = 62 cm³.

Answer: the volumes of the parts are equal to a) 12 cm³ and 72 cm³, b) 22 cm³ and 62 cm³.

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