Find the length of a rectangular parallelepiped whose volume is 13.5 cm, width 4.5 cm and height 4 mm.

| September 6, 2021 | education

We apply the formula for the volume of a rectangular parallelepiped: V = a * b * c, V is the volume of a rectangular parallelepiped, a is the length, b is the width, c is the height. Let us express from it the value of the length or variable a.

V = a * b * c – divide both parts into variable b.

V / b = a * b * c / b.

V / b = a * c – divide both parts into variable c.

V / b / s = a * s / s.

V / (b * c) = a.

Therefore: a = V / (b * c).

Let’s translate the value of the height into centimeters. To do this, apply the equality 1 (cm) = 10 (mm), then 1 (mm) = 1/10 (cm) = 0.1 (cm). Means: 4 (mm) = 4 (mm) * 0.1 (cm) = 0.4 (cm).

Substitute the values ​​V = 13.5 (cm3), b = 4.5 (cm) and c = 0.4 (cm) into the found formula and calculate the length: a = 13.5 (cm3) / (4.5 (cm ) * 0.4 (cm)) = 13.5 (cm3) / 1.8 (cm2) = 7.5 (cm).

Answer: The length of a rectangular parallelepiped is 7.5 centimeters.



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