The length of a rectangular parallelepiped is 60 cm, its width is 70% of the length, and its height is 125%

The length of a rectangular parallelepiped is 60 cm, its width is 70% of the length, and its height is 125% of the length. Calculate the volume of the parallelepiped.

Let’s represent the percentages as decimal fractions:

70%: 100% = 0.7 parts – the length is the width of the parallelepiped.

125%: 100% = 1.25 pieces – lengths height of a parallelepiped.

Find the width of the parallelepiped by making the proportion:

60 cm – 1;

x – 0.7.

x = 60 * 0.7: 1;

x = 42 cm – the width of the parallelepiped.

Find the height of the parallelepiped by making the proportion:

60 cm – 1,

y – 1.25.

y = 60 * 1.25: 1;

y = 75 cm – the height of the parallelepiped.

The formula for the volume of a parallelepiped:

V = a * b * h.

Let’s find the volume of the parallelepiped:

60 * 42 * 75 = 2520 * 75 = 189000 cm3.

Answer: the volume of the parallelepiped is 189,000 cm3.