Surface Area of Right Rectangular Prisms Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Caroline needs to find the surface area of a cereal box for an art project. The box is a rectangular prism with a length of 8 inches, a height of 12 inches, and a width of 2 inches. What is its surface area?(1 point)
in.2

Answer 1

To find the surface area \(S\) of a right rectangular prism, you can use the formula:

\[ S = 2(lw + lh + wh) \]

where:

• \(l\) is the length,
• \(w\) is the width,
• \(h\) is the height.

For Caroline's cereal box:

• Length (\(l\)) = 8 inches
• Width (\(w\)) = 2 inches
• Height (\(h\)) = 12 inches

Now, plug the values into the formula:

1. Calculate \(lw\): \[ lw = 8 \times 2 = 16 \]

2. Calculate \(lh\): \[ lh = 8 \times 12 = 96 \]

3. Calculate \(wh\): \[ wh = 2 \times 12 = 24 \]

4. Now sum \(lw\), \(lh\), and \(wh\): \[ lw + lh + wh = 16 + 96 + 24 = 136 \]

5. Finally, multiply by 2 to find the surface area: \[ S = 2 \times 136 = 272 \text{ in}^2 \]

Therefore, the surface area of the cereal box is \( \boxed{272} \text{ in}^2. \)