Question

Problem #2
The shape is a Rectangular Prism.
Find the TOTAL surface area of the shape. 2cm is the hieght, 5cm is the width and 4cm is the lengh
Answers:
40 cm 2
20 cm2
22 cm2
76 cm2

Answer 1

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

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

Where:
- \( l \) = length
- \( w \) = width
- \( h \) = height

Given:
- Length \( l = 4 \) cm
- Width \( w = 5 \) cm
- Height \( h = 2 \) cm

Now we can plug these values into the formula:

\[
\text{Surface Area} = 2(4 \cdot 5 + 4 \cdot 2 + 5 \cdot 2)
\]

Calculating each term inside the parentheses:

1. \( 4 \cdot 5 = 20 \)
2. \( 4 \cdot 2 = 8 \)
3. \( 5 \cdot 2 = 10 \)

Now, sum these results:

\[
20 + 8 + 10 = 38
\]

Now multiply by 2:

\[
\text{Surface Area} = 2 \cdot 38 = 76 \text{ cm}^2
\]

Therefore, the total surface area of the rectangular prism is

\[
\boxed{76 \text{ cm}^2}
\]