Question

Find the surface area of this prism.
Solve on paper, then record your answer on Zearn. You can use the calculator to help you solve.
Rectangular prism with the base measuring 5 units by 6 units and the height of the prism measuring 8 units.
The surface area of the prism is
square units.

Answer 1

To find 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,
- \( h \) is the height.

In this case, the dimensions given are:
- Length (l) = 6 units,
- Width (w) = 5 units,
- Height (h) = 8 units.

Now, we can substitute these values into the formula.

1. Calculate \( lw \):
\[
lw = 6 \times 5 = 30
\]

2. Calculate \( lh \):
\[
lh = 6 \times 8 = 48
\]

3. Calculate \( wh \):
\[
wh = 5 \times 8 = 40
\]

4. Now, plug in the values back into the surface area formula:
\[
\text{Surface Area} = 2(30 + 48 + 40)
\]

5. Calculate the sum inside the parentheses:
\[
30 + 48 + 40 = 118
\]

6. Now multiply by 2:
\[
\text{Surface Area} = 2 \times 118 = 236
\]

Therefore, the surface area of the prism is \( \boxed{236} \) square units.