Question

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?
A rectangular prism with length of 10 centimeters, width of 4 centimeters, and height of 5 centimeters.

[Not drawn to scale]


120 square centimeters
180 square centimeters
220 square centimeters
270 square cemtimeters

Answer 1

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

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

where:
- \(l\) is the length,
- \(w\) is the width, and
- \(h\) is the height.

Given the dimensions:
- Length (\(l\)) = 10 cm
- Width (\(w\)) = 4 cm
- Height (\(h\)) = 5 cm

Now substitute these values into the formula:

1. Calculate the area of each pair of sides:
- \(lw = 10 \times 4 = 40\)
- \(lh = 10 \times 5 = 50\)
- \(wh = 4 \times 5 = 20\)

2. Add these areas together:
\[
lw + lh + wh = 40 + 50 + 20 = 110
\]

3. Multiply by 2 to find the surface area:
\[
\text{Surface Area} = 2 \times 110 = 220 \text{ square centimeters}
\]

Thus, the surface area of the rectangular prism is **220 square centimeters**.