Question

The shape is a Rectangular Prism.
Find the LATERAL surface area of the shape.
40 cm2
36 cm2
22 cm2
76 cm2 hight 2 lenght 4 width 5

Answer 1

To find the lateral surface area of a rectangular prism, we use the formula:

\[
\text{Lateral Surface Area} = 2h(l + w)
\]

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

Given:
- \( h = 2 \, \text{cm} \)
- \( l = 4 \, \text{cm} \)
- \( w = 5 \, \text{cm} \)

Now, substitute the values into the formula:

\[
\text{Lateral Surface Area} = 2 \times 2 \times (4 + 5)
\]

Calculating inside the parentheses first:

\[
4 + 5 = 9
\]

Now substituting back in:

\[
\text{Lateral Surface Area} = 2 \times 2 \times 9 = 4 \times 9 = 36 \, \text{cm}^2
\]

Thus, the lateral surface area of the rectangular prism is:

\[
\boxed{36 \, \text{cm}^2}
\]