# The width of the rectangular parallelepiped is 6 cm, the length is 4 cm longer, and the height is 3 cm

August 22, 2021 | education

| **The width of the rectangular parallelepiped is 6 cm, the length is 4 cm longer, and the height is 3 cm greater than the width. Find the volume of the rectangular parallelepiped.**

The volume of a rectangular parallelepiped is:

V = a b c, where a – length, b – width, c – height

Let us write down the condition of the problem

b – 6 cm

a – ? cm, 4 cm more than b

c -? cm, 3 cm more than b

Solution

1.Determine the length

a = b + 4 = 6 + 4 = 10 cm

2. Determine the height

c = b + 3 = 6 + 3 = 9 cm

3.All quantities are known, we calculate the volume

V = a b c = 10 6 9 = 540 cubic centimeters

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