Question

The shape is a Rectangular Prism.
Find the here are the measurements 2cm 4cm 5cm find the lateral surface area of the shape

Answer 1

To find the lateral surface area of a rectangular prism, we can use the formula for the lateral surface area (LSA):

\[
\text{LSA} = 2h(l + w)
\]

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

From the given measurements, let's assume:
- Height \( h = 2 \, \text{cm} \)
- Length \( l = 5 \, \text{cm} \)
- Width \( w = 4 \, \text{cm} \)

Now we can plug these values into the formula:

\[
\text{LSA} = 2 \times 2 \, \text{cm} \times (5 \, \text{cm} + 4 \, \text{cm})
\]
\[
= 2 \times 2 \times 9 \, \text{cm} \quad (\text{since } 5 + 4 = 9)
\]
\[
= 4 \times 9 \, \text{cm}^2
\]
\[
= 36 \, \text{cm}^2
\]

Thus, the lateral surface area of the rectangular prism is \( 36 \, \text{cm}^2 \).