Question

The shape is a Rectangular Prism. Find the LATERAL surface area of the shape. (The answer isn't 56 cm^2)
2 cm, 5 cm, 4 cm.

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.

In this case, the dimensions are given as:
- Length (\( l \)) = 5 cm
- Width (\( w \)) = 4 cm
- Height (\( h \)) = 2 cm

Now, plug the values into the formula:

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

Calculate the sum inside the parentheses:

\[
5 \text{ cm} + 4 \text{ cm} = 9 \text{ cm}
\]

Now substitute this back into the formula:

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

Thus, the lateral surface area of the rectangular prism is

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