The width of the rectangular parallelepiped is 10 cm, the length is 4 times more

The width of the rectangular parallelepiped is 10 cm, the length is 4 times more, and the height is 4 cm more than the width. Find the volume of the rectangular parallelepiped.

1. Let’s denote the length of the rectangular parallelepiped by the letter A, the width by the letter B, and the height by the letter N.

First, we find a length that is 4 times the width:

A = 4 x B;

A = 4 x 10;

A = 40 (cm).

2. Now let’s calculate the height, which is 4 cm more than the width:

H = B + 4;

H = 10 + 4;

H = 14 (cm).

3. It remains to calculate the volume of the rectangular parallelepiped by multiplying the length, width and height:

V = A x B x H;

V = 40 x 10 x 14;

V = 5600 (cm³).

Answer: the volume of the declared rectangular parallelepiped is 5600 cm³.

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