The height of a rectangular parallelepiped is 20 cm, which is 5 cm more than its width and 3 times

| July 24, 2021 | education

The height of a rectangular parallelepiped is 20 cm, which is 5 cm more than its width and 3 times less than its length. Calculate the surface area of the parallelepiped.

Since the area of a parallelepiped is calculated through the length of its edges by the formula:

S = 2 * (a * b + b * c + a * c), where a, b, c, = the length of its edges.

1. Knowing that the width is 5 cm less than the height and the height of the rectangular parallelepiped is 20 cm, we calculate the width.

20 – 5 = 15 cm

2. By condition, the length is 3 times greater than the height, we calculate it too.

20 * 3 = 60 cm.

3. Knowing the length, width and height and substituting their values into the formula, you can calculate the volume of a rectangular parallelepiped.

S = 2 * (a * b + b * c + a * c) = 2 * (20 * 15 + 20 * 60 + 15 * 60)

S = 2 * (300 + 1200 + 900) = 2 * 2400 = 4800 cm3.

Answer: 4800 cm3.



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