Question

Riya is applying mulch to her garden. She applies it at a rate of 250 , 000 cm 3 250,000 cm 3 250, comma, 000, start text, space, c, m, end text, cubed of mulch for every m 2 m 2 start text, space, m, end text, squared of garden space. At what rate is Riya applying mulch in m 3 m 2 m 2 m 3 ​ start fraction, start text, m, end text, cubed, divided by, start text, m, end text, squared, end fraction?

Answer 1

0.25m³ / m²

Explanation:

Given that:

Rate of application = 250,000 cm³ of mulch per m²

The rate of application in m³ per m² can be calculated thus :

Converting 250,000 cm³ to m³

1cm = 1/100 = 0.01m = 1 * 10^-2 m

Hence

1cm³ = (1 * 10^-2 m)³ = 1 × 10^-6 m³

Hence,

250,000cm³ = (250,000 * 10^-6)m³ = 0.25m³

Hence, rate of application in m³ / m² equals

0.25m³ / m²

Answer 2

0.25m³

Explanation:

If Riya is applying mulch to her garden. She applies it at a rate of 250,000 cm³ for every m², to know how much she is applying in m³ for every m², we will make use of the conversion formula:

100cm = 1m

1cm = 1/100m

1cm = 0.01m

250,000cm³ = 250,000 × 1cm×1cm×1cm

250,000cm³ = 250,000×0.01×0.01×0.01

= 250,000×0.000001

= 0.25m³

Hence Riya is applying at 0.25m³ per m²