# The width of the rectangular parallelepiped is 4 1/2 cm, its length is 2 4/7 more than the width and the height is 20% of the width.

December 30, 2020 | education

| **The width of the rectangular parallelepiped is 4 1/2 cm, its length is 2 4/7 more than the width and the height is 20% of the width. Find the volume of the parallelepiped?**

4 whole 1/2 = 9/2

2 whole 4/7 = 18/7

1) (9/2) * (18/7) = 81/7 cm – the width of the rectangular parallelepiped

20% – 0.2

2) (81/7) * 0.2 = (81/7) * (2/10) = (81/7) * (1/5) = 81/35 – the height of the rectangular parallelepiped

Volume is the product of all three dimensions (length, width and height)

3) V = (9/2) * (81/7) * (81/35) = 59049/490 = 120 whole 249/490 (cm ^ 3)

Answer: 120 as much as 249/490 (cm ^ 3)