The length of a parallelepiped rectangle is 60 cm, its width is 70% of the length

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

1. Let’s convert percentages into fractions.

70% = 0.7;

125% = 1.25.

2. Let us denote the length of the parallelepiped by the variable a, the width – by the variable b, and the height – by the variable c.

3. Find the width of the parallelepiped.

b = 0.7a = 60 cm × 0.7 = 42 cm.

4. Find the height of the parallelepiped.

c = 1.25a = 60cm × 1.25 = 75cm.

5.Let’s find the volume of the parallelepiped by the formula V = abc.

V = 60 cm × 42 cm × 75 cm = 189,000 cm ^ 3 = 189 dm ^ 3.

Answer: 189 dm ^ 3.