Question

The shape is a Rectangular Prism.
Find the TOTAL surface area of the shape.
40 cm2
20 cm2
22 cm2
76 cm2 hight 2 width 5 length 4

Answer 1

The shape is a Rectangular Prism.
Find the LATERAL surface area of the shape.
40 cm2
36 cm2
22 cm2
76 cm2 same numbers

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

For your rectangular prism:
- Height \( h = 2 \) cm
- Width \( w = 5 \) cm
- Length \( l = 4 \) cm

Now, plug in the values into the formula:

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

Calculating each part:

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

Adding these together:

\[
20 + 8 + 10 = 38
\]

Now multiply by 2:

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

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