The height of a rectangular parallelepiped is 4 4/5 cm, its length is 3 1/8 times its height, and its width is 60% of its length. Calculate the volume of a parallelepiped
Find all sizes, convert lengths to fractions.
Height 4 4 / 5cm, that is, 4 * 5 + 4 = 24 / 5cm.
The length is 3 1/8 longer (3 * 8 + 1 = 25/8 times). To find the length, multiply the 24/5 height by 25/8. Let’s use the rule of multiplication of simple fractions. To do this, the numerators multiply among themselves and the denominators. We get 24 * 25/5 * 8 = 600/40 = 15.
Width -60% of the length. you can make an equation 15cm-100%
x (width) -60%
x = 15 * 60/100 = 9cm
or you can 15cm * 0.6 = 9cm
Now let’s calculate the volume, for this we multiply the length, height, width among ourselves: 24/5 * 15 * 9. Let’s use the rule of multiplying a fraction by a natural number. The numerator is multiplied with the number, and the denominator remains unchanged. 24 * 15 * 9/5 = 3240/5 = 648 cm cubic
Answer: 648 cm cubic
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