Question

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

Answer 1

GPT-40 mini, now find the lateral surface area of the shape.

Answer 2

To find the total surface area of a rectangular prism, you can use the formula:

\[
\text{Surface Area} = 2(lw + lh + wh)
\]

where \( l \) is the length, \( w \) is the width, and \( h \) is the height of the prism.

In this case, the dimensions are:
- \( l = 5 \) cm
- \( w = 4 \) cm
- \( h = 2 \) cm

Now, plug these values into the formula:

1. Calculate \( lw \):
\[
lw = 5 \times 4 = 20 \, \text{cm}^2
\]

2. Calculate \( lh \):
\[
lh = 5 \times 2 = 10 \, \text{cm}^2
\]

3. Calculate \( wh \):
\[
wh = 4 \times 2 = 8 \, \text{cm}^2
\]

Now, sum these results:
\[
lw + lh + wh = 20 + 10 + 8 = 38 \, \text{cm}^2
\]

Now, multiply by 2 to get the total surface area:
\[
\text{Surface Area} = 2 \times 38 = 76 \, \text{cm}^2
\]

Therefore, the total surface area of the rectangular prism is \( \text{76 cm}^2 \).