Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism 10cm wide by 12cm long. The rock displaces 1800cm^(3) of water. How high is the rock? cm

Understand Problem: Understand the problem and identify the formula to use. The volume of a right rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. We are given the volume (V), the width (w), and the length (l), and we need to find the height (h).Plug Values: Plug the known values into the volume formula and solve for the height (h). We know that V = 1800 cm³, w = 10 cm, and l = 12 cm. The formula becomes 1800 cm³ = 10 cm * 12 cm * h.Calculate Height: Calculate the height (h) by dividing the volume (V) by the product of the width (w) and the length (l). h = V / (l * w) = 1800 cm³ / (10 cm * 12 cm) = 1800 cm³ / 120 cm² = 15 cm.Verify Calculation: Verify the calculation to ensure there are no math errors. Re-calculate the height using the formula: h = 1800 cm³ / (10 cm * 12 cm) = 1800 cm³ / 120 cm² = 15 cm. The calculation is correct.

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Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism
10cm wide by
12cm long. The rock displaces
1800cm^(3) of water.
How high is the rock?
cm

Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism $10 \mathrm{~cm}$ wide by $12 \mathrm{~cm}$ long. The rock displaces $1800 \mathrm{~cm}^{3}$ of water. $\newline$ How high is the rock? $\newline$ cm

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Q. Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism

10 \mathrm{~cm}

wide by

12 \mathrm{~cm}

long. The rock displaces

1800 \mathrm{~cm}^{3}

of water.

\newline

How high is the rock?

\newline

Understand Problem: Understand the problem and identify the formula to use. $\newline$ The volume of a right rectangular prism is given by the formula $V = lwh$ , where $l$ is the length, $w$ is the width, and $h$ is the height. We are given the volume ( $V$ ), the width ( $w$ ), and the length ( $l$ ), and we need to find the height ( $h$ ).
Plug Values: Plug the known values into the volume formula and solve for the height $h$ . We know that $V = 1800 \, \text{cm}^3$ , $w = 10 \, \text{cm}$ , and $l = 12 \, \text{cm}$ . The formula becomes $1800 \, \text{cm}^3 = 10 \, \text{cm} \times 12 \, \text{cm} \times h$ .
Calculate Height: Calculate the height $h$ by dividing the volume $V$ by the product of the width $w$ and the length $l$ . $h = \frac{V}{l \times w} = \frac{1800 \, \text{cm}^3}{10 \, \text{cm} \times 12 \, \text{cm}} = \frac{1800 \, \text{cm}^3}{120 \, \text{cm}^2} = 15 \, \text{cm}.$
Verify Calculation: Verify the calculation to ensure there are no math errors. $\newline$ Re-calculate the height using the formula: $h = \frac{1800 \, \text{cm}^3}{(10 \, \text{cm} \times 12 \, \text{cm})} = \frac{1800 \, \text{cm}^3}{120 \, \text{cm}^2} = 15 \, \text{cm}$ . The calculation is correct.