The volume of a rectangular parallelepiped is 42 cm3, height is 7 cm. What is the width of a rectangle

The volume of a rectangular parallelepiped is 42 cm3, height is 7 cm. What is the width of a rectangle whose area is 14 cm2 more than the area of the base of the parallelepiped, and the length is 2 cm less than the height of the parallelepiped?

Knowing the volume of the parallelepiped and the height, we can find its area. Let’s calculate it by dividing the volume by the height:

42: 7 = 6 cm – the area of the base of the parallelepiped.

Then the area of the rectangle is:

6 + 14 = 20 cm2

and its length is:

7 – 2 = 5 cm.

Knowing the area and length of the rectangle, we find its width by dividing the area by the length:

20: 5 = 4cm width of the rectangle.

Answer: the width of the rectangle is 4 cm.