The rectangular parallelepiped is 50 cm long and 24% wide. Calculate the volume of the box if the width is 30% of the height.
It is known that the volume of a rectangular parallelepiped (V) is equal to the product of its length (a), width (b) and height (h):
V = a * b * h.
To calculate the volume of a parallelepiped whose length is a = 50 cm, you need to find its width and height.
1) Determine the width of the parallelepiped:
b = 50: 100 * 24 = 0.5 * 24 = 12 cm.
2) Find its height:
h = 12: 30 * 100 = 0.4 * 100 = 40 cm.
3) Knowing the length, width and height of the parallelepiped, we calculate its volume:
V = 50 * 12 * 40 = 2000 * 12 = 24000 cm ^ 3.
Answer: the volume of a parallelepiped is 24000 cm ^ 3.
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