Question

The shape is a Rectangular Prism.



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 \( 60 \, \text{cm}^2 \).

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