Question

The shape is a Rectangular Prism.

h: 2
w: 4
l: 5

Find the TOTAL surface area of the shape.


40 cm2
2

20 cm2
2

22 cm2
2

76 cm2
2

Answer 1

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,
- \( h \) is the height.

Given the dimensions:
- \( h = 2 \) cm,
- \( w = 4 \) cm,
- \( l = 5 \) cm.

Now, let's calculate it step by step:

1. Calculate \( lw \):
\[
lw = 5 \times 4 = 20
\]

2. Calculate \( lh \):
\[
lh = 5 \times 2 = 10
\]

3. Calculate \( wh \):
\[
wh = 4 \times 2 = 8
\]

4. Now sum these values:
\[
lw + lh + wh = 20 + 10 + 8 = 38
\]

5. Finally, plug it into the surface area formula:
\[
\text{Surface Area} = 2 \times 38 = 76 \, \text{cm}^2
\]

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