Calculate the volume of a rectangular parallelepiped that is 2 1/4 dm long, 2 2/5 dm wide, and 2 2/3 dm high.
| January 11, 2021 | education
The volume of a rectangular parallelepiped is found by multiplying its length, width and height. In order to complete the product, we transform the lengths of its sides to improper fractions:
2 1/4 = 9/4 dm;
2 2/5 = 12/5 dm;
2 2/3 = 8/3 dm.
Let’s multiply these fractions:
9/4 * 12/5 * 8/3 = (9 * 12 * 8) / (4 * 5 * 3) = 864/60 = 14 24/60 = 14 4/10 = 14 1/5 dm3.
Answer: the volume of the parallelepiped is 14 1/5 dm3.
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