Question

Find the volume and surface area of the figure.
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.
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Question content area top right
Part 1
2 in
4 in
9.4 in
Question content area bottom
Part 1
The volume of the figure is
  
enter your response here in cubed.

Answer 1

To find the volume and surface area of the figure, I need to know the shape of the figure and how the given dimensions relate to it. Based on the measurements you provided, it seems like this could be a rectangular prism or possibly a different shape.

Let’s assume it’s a rectangular prism where:
- The length (l) = 9.4 in (assuming this is the longest dimension),
- The width (w) = 4 in,
- The height (h) = 2 in.

### Volume
The volume \( V \) of a rectangular prism can be calculated using the formula:

\[
V = l \times w \times h
\]

Substituting the values in:

\[
V = 9.4 \, \text{in} \times 4 \, \text{in} \times 2 \, \text{in}
\]

Calculating it:

\[
V = 9.4 \times 4 \times 2 = 75.2 \, \text{in}^3
\]

### Surface Area
The surface area \( SA \) of a rectangular prism can be calculated using the formula:

\[
SA = 2(lw + lh + wh)
\]

Substituting the values in:

\[
SA = 2(9.4 \times 4 + 9.4 \times 2 + 4 \times 2)
\]

Calculating each term:

1. \( lw = 9.4 \times 4 = 37.6 \)
2. \( lh = 9.4 \times 2 = 18.8 \)
3. \( wh = 4 \times 2 = 8 \)

Now, summing these:

\[
lw + lh + wh = 37.6 + 18.8 + 8 = 64.4
\]

Now multiply by 2 for the surface area:

\[
SA = 2 \times 64.4 = 128.8 \, \text{in}^2
\]

### Final Answer
- Volume: \( 75.2 \, \text{in}^3 \)
- Surface Area: \( 128.8 \, \text{in}^2 \)

If the figure has a different shape, please provide more details, and I can recalculate accordingly.