Question
The shape is a rectangular prism 2cm, 5cm, 4cm , what is the LATERAL surface area
Answers
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.
In the case of your rectangular prism with dimensions:
- Height (\( h \)) = 4 cm
- Width (\( w \)) = 2 cm
- Length (\( l \)) = 5 cm
Now, plug in the values:
\[
\text{Lateral Surface Area} = 2 \times 4 \times (2 + 5) = 2 \times 4 \times 7
\]
\[
\text{Lateral Surface Area} = 2 \times 28 = 56 \, \text{cm}^2
\]
So, the lateral surface area of the rectangular prism is \( 56 \, \text{cm}^2 \).
\[
\text{Lateral Surface Area} = 2h(w + l)
\]
where \( h \) is the height, \( w \) is the width, and \( l \) is the length.
In the case of your rectangular prism with dimensions:
- Height (\( h \)) = 4 cm
- Width (\( w \)) = 2 cm
- Length (\( l \)) = 5 cm
Now, plug in the values:
\[
\text{Lateral Surface Area} = 2 \times 4 \times (2 + 5) = 2 \times 4 \times 7
\]
\[
\text{Lateral Surface Area} = 2 \times 28 = 56 \, \text{cm}^2
\]
So, the lateral surface area of the rectangular prism is \( 56 \, \text{cm}^2 \).