Riya is applying mulch to her garden. She applies it at a rate of 250,000cm^(3) of mulch for every m^(2) of garden space. At what rate is Riya applying mulch in (m^(3))/(m^(2)) ?

Convert to m^3: We need to convert the volume of mulch from cm^3 to m^3 and then divide by the area in m^2 to find the rate in (m^3)/(m^2).Calculate Volume: First, we convert 250,000 cm^3 to m^3. We know that 1 m^3 is equal to 1,000,000 cm^3 (since 1 m = 100 cm and thus 1 m^3 = 100^3 cm^3).Convert to Rate: To convert cm^3 to m^3, we divide the volume in cm^3 by 1,000,000 cm^3/m^3. So, 250,000 cm^3 = 250,000 / 1,000,000 m^3.Final Rate: Performing the division, we get 250,000 / 1,000,000 = 0.25 m^3.Now, we have the volume in m^3, and since the area is already given in m^2, we can directly use these values to find the rate. The rate is 0.25 m^3 of mulch for every 1 m^2 of garden space.Therefore, Riya is applying mulch at a rate of 0.25 (m^3)/(m^2).

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Riya is applying mulch to her garden. She applies it at a rate of
250,000cm^(3) of mulch for every
m^(2) of garden space.
At what rate is Riya applying mulch in
(m^(3))/(m^(2)) ?

Riya is applying mulch to her garden. She applies it at a rate of $250,000\text{cm}^{3}$ of mulch for every $1\text{m}^{2}$ of garden space. $\newline$ At what rate is Riya applying mulch in $\left(\frac{\text{m}^{3}}{\text{m}^{2}}\right)$ ?

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Q. Riya is applying mulch to her garden. She applies it at a rate of

250,000\text{cm}^{3}

of mulch for every

1\text{m}^{2}

of garden space.

\newline

At what rate is Riya applying mulch in

\left(\frac{\text{m}^{3}}{\text{m}^{2}}\right)

Convert to $m^3$ : We need to convert the volume of mulch from $cm^3$ to $m^3$ and then divide by the area in $m^2$ to find the rate in $(m^3)/(m^2)$ .
Calculate Volume: First, we convert $250,000 \, \text{cm}^3$ to $\text{m}^3$ . We know that $1 \, \text{m}^3$ is equal to $1,000,000 \, \text{cm}^3$ (since $1 \, \text{m} = 100 \, \text{cm}$ and thus $1 \, \text{m}^3 = 100^3 \, \text{cm}^3$ ).
Convert to Rate: To convert $\text{cm}^3$ to $\text{m}^3$ , we divide the volume in $\text{cm}^3$ by $1,000,000 \, \text{cm}^3/\text{m}^3$ . So, $250,000 \, \text{cm}^3 = \frac{250,000}{1,000,000} \, \text{m}^3$ .
Final Rate: Performing the division, we get $\frac{250,000}{1,000,000} = 0.25 \, \text{m}^3$ .
Final Rate: Performing the division, we get $\frac{250,000}{1,000,000} = 0.25 \, \text{m}^3$ . Now, we have the volume in $\text{m}^3$ , and since the area is already given in $\text{m}^2$ , we can directly use these values to find the rate. $\newline$ The rate is $0.25 \, \text{m}^3$ of mulch for every $1 \, \text{m}^2$ of garden space.
Final Rate: Performing the division, we get $250,000 / 1,000,000 = 0.25 \, \text{m}^3$ .Now, we have the volume in $\text{m}^3$ , and since the area is already given in $\text{m}^2$ , we can directly use these values to find the rate. $\newline$ The rate is $0.25 \, \text{m}^3$ of mulch for every $1 \, \text{m}^2$ of garden space.Therefore, Riya is applying mulch at a rate of $0.25 \, (\text{m}^3)/(\text{m}^2)$ .