Question

The shape is a Rectangular Prism.
Find the LATERAL surface area of the shape. The hight is 2cm the width is 5cm and the lengh is 4cm
Answers:
40 cm 2
36 cm2
22 cm2
76 cm2

Answer 1

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

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

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

From the problem:
- Height \( h = 2 \, \text{cm} \)
- Width \( w = 5 \, \text{cm} \)
- Length \( l = 4 \, \text{cm} \)

Now substituting the values into the formula:

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

Therefore, the lateral surface area of the rectangular prism is **36 cm²**.