Question

Alexis ordered an ice cream cake from Molly Moo Creamery. The box that it was packed in was a rectangular prism. The dimensions of the box are shown in the diagram.



What is the total surface area of the box of in square inches?

Answer 1

To find the total surface area of a rectangular prism, you can use the formula:

\[
\text{Surface Area} = 2lw + 2lh + 2wh
\]

where \(l\) is the length, \(w\) is the width, and \(h\) is the height of the prism.

Assuming you have the dimensions of the box (length \(l\), width \(w\), and height \(h\)), you can substitute them into the formula.

For example, if the dimensions are:
- Length (\(l\)) = 10 inches
- Width (\(w\)) = 5 inches
- Height (\(h\)) = 3 inches

Then the total surface area would be calculated as follows:

1. Calculate each product:
- \(2lw = 2 \times 10 \times 5 = 100\)
- \(2lh = 2 \times 10 \times 3 = 60\)
- \(2wh = 2 \times 5 \times 3 = 30\)

2. Add these values together:
\[
\text{Surface Area} = 100 + 60 + 30 = 190
\]

So the total surface area of the box would be \(190\) square inches.

Please provide the specific dimensions of the box if you need the exact surface area calculated for those dimensions.