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

Calculate Volume of Cake Pan: Calculate the volume of the cake pan using the formula for the volume of a rectangular prism: Volume = length × width × height.Plug in Given Dimensions: Plug in the given dimensions: Volume = 28cm × 20cm × height.Set Equal to Solve for Height: We know the volume of batter Whitney put into the pan is 1848cm³. Set this equal to the volume of the pan to solve for the height (depth): 28cm × 20cm × height = 1848cm³.Isolate Height: Divide both sides of the equation by the product of the length and width to isolate the height: height = 1848cm³ ÷ (28cm × 20cm).Calculate Height: Calculate the height: height = 1848cm³ ÷ 560cm².Perform Division: Perform the division: height = 3.3cm.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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 $20\,\text{cm}$ wide by $28\,\text{cm}$ long. Whitney puts $1848\,\text{cm}^{3}$ of batter into the pan. $\newline$ How deep is the cake batter? $\newline$ $\square\,\text{cm}$

View step-by-step help

Home

Math Problems

Algebra 2

Pythagorean Theorem and its converse

Full solution

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

20\,\text{cm}

wide by

28\,\text{cm}

long. Whitney puts

1848\,\text{cm}^{3}

of batter into the pan.

\newline

How deep is the cake batter?

\newline

\square\,\text{cm}

Calculate Volume of Cake Pan: Calculate the volume of the cake pan using the formula for the volume of a rectangular prism: $\text{Volume} = \text{length} \times \text{width} \times \text{height}$ .
Plug in Given Dimensions: Plug in the given dimensions: Volume = $28\,\text{cm} \times 20\,\text{cm} \times \text{height}.$
Set Equal to Solve for Height: We know the volume of batter Whitney put into the pan is $1848\,\text{cm}^3$ . Set this equal to the volume of the pan to solve for the height (depth): $28\,\text{cm} \times 20\,\text{cm} \times \text{height} = 1848\,\text{cm}^3$ .
Isolate Height: Divide both sides of the equation by the product of the length and width to isolate the height: $\text{height} = \frac{1848\,\text{cm}^3}{(28\,\text{cm} \times 20\,\text{cm})}$ .
Calculate Height: Calculate the height: $\text{height} = \frac{1848\text{cm}^3}{560\text{cm}^2}$ .
Perform Division: Perform the division: $\text{height} = 3.3\,\text{cm}.$