A football filters that is 60 m wide and 110 m long is being paved over to make a parking lot. The builder ordered 660,000,000 cm3 of cement. How thick must the cement be to cover the field using 660,000,000 cm3 of cement?

The answer is 10 cm

Imagine cement cover as a rectangle which volume is 660,000,000 cm3. So this rectangle has width (w = 60m), length (l = 110m), and height (h = ?). The height of the rectangle is actually a thickness of the cement layer. So, we will use the formula for the volume (V) of the rectangle to calculate the thickness:

V = w · l · h

It is given:

V = 660,000,000 cm³

w = 60 m = 60 · 100 cm = 6,000 cm

l = 110 m = 110 · 100 cm = 11,000 cm

h = ?

Using the formula: V = w · l · h

660,000,000 = 6,000 · 11,000 · h

660,000,000 = 66,000,000 · h

⇒ h = 660,000,000 : 66,000,000 = 10 cm