The volume of a rectangular parallelepiped is 150 cm3, its width is 2 cm, and its height is 3 cm. Find the sum of the lengths of all the edges of this rectangular parallelepiped.
As you know, the volume of a rectangular parallelepiped is calculated by the formula: V = a * b * c, where a is the length of the rectangular parallelepiped, b is the width of the rectangular parallelepiped, c is the height of the rectangular parallelepiped.
Substitute the given values into the formula and calculate the length of the rectangular parallelepiped:
150 = a * 2 * 3 = 6a.
a = 150/6 = 25 cm.
Let’s find the sum of all lengths: 25 * 4 = 100 cm.
Find the sum of all the widths: 2 * 4 = 8 cm.
Let’s find the sum of all heights: 3 * 4 = 12 cm.
Let’s find the total sum of all edges: 12 + 8 + 100 = 120 cm.
Answer: the sum of all the edges of a rectangular parallelepiped is 120 cm.
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