The length of the rectangular paralelepipid is 50 cm and the width is 24% of the length.

The length of the rectangular paralelepipid is 50 cm and the width is 24% of the length. Calculate the volume of the parallelepiped if the width is 30% of the height.

Let’s calculate the width of the rectangular parallelepiped. Let’s make the proportion:

50 cm – 100%,

x cm – 24%.

x = 50 cm * 24%: 100% = 12 cm.

The width of the rectangular parallelepiped is 12 cm.

Let’s find the height of the rectangular parallelepiped, and also compose the proportion:

x cm – 100%,

12 cm – 30%.

x = 12 cm * 100%: 30 cm = 40 cm.

Find the volume of a rectangular parallelepiped:

V = a * b * h, where a, b, h are the length, width, height of the rectangular parallelepiped.

V = 40 * 50 * 12 = 24000 cm³.

Answer: the volume of a rectangular parallelepiped is 24000 cm³.