Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism 20cm wide by 28cm long. Whitney puts 1848cm^(3) of batter into the pan. How deep is the cake batter? cm

Identify Volume and Dimensions: Identify the volume of the cake batter and the dimensions of the cake pan. The volume of the batter is given as 1848 cm³. The dimensions of the cake pan are 20 cm in width and 28 cm in length. We need to find the depth (height) of the batter in the pan.Use Volume Formula: Use the formula for the volume of a right rectangular prism. The volume (V) of a right rectangular prism is given by the formula V = length × width × height. Here, we know the volume (V = 1848 cm³), the length (28 cm), and the width (20 cm). We need to find the height (h).Rearrange Formula for Height: Rearrange the formula to solve for the height. The formula for the volume of the prism is V = length × width × height, which can be rearranged to solve for height (h) as follows: h = V / (length × width)Calculate Height: Plug in the known values and calculate the height. h = 1848 cm³ / (28 cm × 20 cm) h = 1848 cm³ / 560 cm² h = 3.3 cmCheck Calculation: Check the calculation for any mathematical errors. Rechecking the calculation: h = 1848 cm³ / 560 cm² h = 3.3 cm The calculation seems correct, and there are no mathematical errors.

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Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism
20cm wide by
28cm long. Whitney puts
1848cm^(3) of batter into the pan.
How deep is the cake batter?
cm

Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism $20 \mathrm{~cm}$ wide by $28 \mathrm{~cm}$ long. Whitney puts $1848 \mathrm{~cm}^{3}$ of batter into the pan. $\newline$ How deep is the cake batter? $\newline$ cm

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Q. Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism

20 \mathrm{~cm}

wide by

28 \mathrm{~cm}

long. Whitney puts

1848 \mathrm{~cm}^{3}

of batter into the pan.

\newline

How deep is the cake batter?

\newline

Identify Volume and Dimensions: Identify the volume of the cake batter and the dimensions of the cake pan. $\newline$ The volume of the batter is given as $1848 \, \text{cm}^3$ . $\newline$ The dimensions of the cake pan are $20 \, \text{cm}$ in width and $28 \, \text{cm}$ in length. $\newline$ We need to find the depth (height) of the batter in the pan.
Use Volume Formula: Use the formula for the volume of a right rectangular prism. $\newline$ The volume $V$ of a right rectangular prism is given by the formula $V = \text{length} \times \text{width} \times \text{height}$ . $\newline$ Here, we know the volume ( $V = 1848 \, \text{cm}^3$ ), the length ( $28 \, \text{cm}$ ), and the width ( $20 \, \text{cm}$ ). We need to find the height ( $h$ ).
Rearrange Formula for Height: Rearrange the formula to solve for the height. $\newline$ The formula for the volume of the prism is $V = \text{length} \times \text{width} \times \text{height}$ , which can be rearranged to solve for height $(h)$ as follows: $\newline$ $h = \frac{V}{(\text{length} \times \text{width})}$
Calculate Height: Plug in the known values and calculate the height. $\newline$ $h = \frac{1848 \, \text{cm}^3}{28 \, \text{cm} \times 20 \, \text{cm}}$ $\newline$ $h = \frac{1848 \, \text{cm}^3}{560 \, \text{cm}^2}$ $\newline$ $h = 3.3 \, \text{cm}$
Check Calculation: Check the calculation for any mathematical errors. $\newline$ Rechecking the calculation: $\newline$ $h = \frac{1848 \, \text{cm}^3}{560 \, \text{cm}^2}$ $\newline$ $h = 3.3 \, \text{cm}$ $\newline$ The calculation seems correct, and there are no mathematical errors.