The volume of a rectangular parallelepiped is 25.2 dm3. Base length 3.5 dm, width 16 cm Find its height.
| January 30, 2021 | education
Given:
V = 25.2 dm ^ 3,
b = 3.5 dm,
a = 16 cm.
Find – h.
Decision.
By definition of the volume of a rectangular parallelepiped:
V = a * b * h.
From the volume formula, we express the height of the parallelepiped:
h = V / (a * b).
Substitute the numerical values into the formula for the height. For this, it is necessary that the units of measurement of all linear dimensions are the same.
a = 16 cm = 1.6 dm.
1 cm = 0.1 dm.
h = 25.2 / (1.6 * 3.5) = 25.2 / 5.6 = 4.5 (dm).
Answer: h = 4.5 dm.
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