Question

The shape is a Rectangular Prism. height is 2cm, width is 5cm, length is 4cm
Find the LATERAL surface area of the shape.
40 cm2
36 cm 2
22 cm 2
76 cm 2

Answers

GPT-4o mini
To find the lateral surface area of a rectangular prism, you can 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:
- Height, \( h = 2 \, \text{cm} \)
- Width, \( w = 5 \, \text{cm} \)
- Length, \( l = 4 \, \text{cm} \)

Now, plug in the values into the formula:

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

Calculating inside the parentheses first:

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

Now substitute that back into the formula:

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

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

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