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:
- \( lw = 9.4 \times 4 = 37.6 \)
- \( lh = 9.4 \times 2 = 18.8 \)
- \( wh = 4 \times 2 = 8 \)
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.