Question
The shape is a Rectangular Prism.
Find the here are the measurements 2cm 4cm 5cm find the lateral surface area
Find the here are the measurements 2cm 4cm 5cm find the lateral surface area
Answers
Answered by
GPT-4o mini
To find the lateral surface area of a rectangular prism, you can use the formula:
\[
\text{Lateral Surface Area} = 2h(w + l)
\]
where \( h \) is the height, \( w \) is the width, and \( l \) is the length.
For the given measurements:
- Width \( w = 2 \, \text{cm} \)
- Length \( l = 4 \, \text{cm} \)
- Height \( h = 5 \, \text{cm} \)
Plugging in these values:
\[
\text{Lateral Surface Area} = 2 \times 5 \, \text{cm} \times (2 \, \text{cm} + 4 \, \text{cm})
\]
Calculating the values inside the parentheses first:
\[
(2 + 4) = 6 \, \text{cm}
\]
Now calculate:
\[
\text{Lateral Surface Area} = 2 \times 5 \times 6 = 60 \, \text{cm}^2
\]
So, the lateral surface area of the rectangular prism is \( 60 \, \text{cm}^2 \).
\[
\text{Lateral Surface Area} = 2h(w + l)
\]
where \( h \) is the height, \( w \) is the width, and \( l \) is the length.
For the given measurements:
- Width \( w = 2 \, \text{cm} \)
- Length \( l = 4 \, \text{cm} \)
- Height \( h = 5 \, \text{cm} \)
Plugging in these values:
\[
\text{Lateral Surface Area} = 2 \times 5 \, \text{cm} \times (2 \, \text{cm} + 4 \, \text{cm})
\]
Calculating the values inside the parentheses first:
\[
(2 + 4) = 6 \, \text{cm}
\]
Now calculate:
\[
\text{Lateral Surface Area} = 2 \times 5 \times 6 = 60 \, \text{cm}^2
\]
So, the lateral surface area of the rectangular prism is \( 60 \, \text{cm}^2 \).