Question

The shape is a Rectangular Prism. Find the LATERAL surface area of the shape.
2 cm, 5 cm, 4 cm.

Answer 1

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 of the prism.

In this case, you have the dimensions as follows:
- Length (\( l \)) = 5 cm
- Width (\( w \)) = 2 cm
- Height (\( h \)) = 4 cm

Now, plug the values into the formula:

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

Calculate the addition inside the parentheses first:

\[
2 \, \text{cm} + 5 \, \text{cm} = 7 \, \text{cm}
\]

Now substitute back into the equation:

\[
\text{Lateral Surface Area} = 2 \times 4 \, \text{cm} \times 7 \, \text{cm} = 8 \, \text{cm} \times 7 \, \text{cm} = 56 \, \text{cm}^2
\]

Thus, the lateral surface area of the rectangular prism is **56 cm²**.