One edge of a rectangular parallelepiped is 10 cm, the second is 3 times larger than the first

| June 10, 2021 | education

One edge of a rectangular parallelepiped is 10 cm, the second is 3 times larger than the first and the third is 15 cm larger than the previous one. Find the volume of the rectangular parallelepiped.

Let us denote by the variable X the required volume of our rectangular parallelepiped, through the variable A the length of the first edge of our rectangular parallelepiped, which, according to the condition of our problem, is 10 cm.

Based on the condition of our problem, we find the desired value of our rectangular parallelepiped using the following formula.

X = A x 3 x A x (3 x A + 15).

X = 10 x 3 x 10 x (3 x 10 + 15).

X = 30 x 10 x (30 + 15).

X = 300 x 45.

X = 13500 cm ^ 3.

Thus, we get that the required volume of our rectangular parallelepiped is 13500 cm ^ 3.



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