The length of the rectangular parallelepiped is 8 cm, and the width is 2 cm less than the length, and the height

| August 12, 2021 | education

The length of the rectangular parallelepiped is 8 cm, and the width is 2 cm less than the length, and the height is 2 times greater than the width. Find the volume of a rectangular parallelepiped.

The length of the rectangular parallelepiped is 8 cm.

1) Find the width of the rectangular parallelepiped if it is 2 cm less than the length.

8 cm – 2 cm = 6 cm.

2) Find the height of the rectangular parallelepiped if the height is 2 times more than the width.

6 cm * 2 = 6 * 2 cm = 12.

3) Find the volume of a rectangular parallelepiped by multiplying the length by the width and by the height.

V = 8 cm * 6 cm * 12 cm = 8 * 6 * 12 cm ^ 3 = 48 * 12 cm ^ 3 = 48 * (10 + 2) cm ^ 3 = 48 * 10 cm ^ 3 + 48 * 2 cm ^ 3 = 480 cm ^ 3 + 40 * 2 cm ^ 3 + 8 * 2 cm ^ 3 = 480 cm ^ 3 + 80 cm ^ 3 + 16 cm ^ 3 = 560 cm ^ 3 + 16 cm ^ 3 = 576 cm ^ 3 …

Answer: V = 576 cm ^ 3.



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