To determine the volume of the figure, we need to know three dimensions: the length, the width, and the height. Given that only two dimensions (2.4 and 6.9) are provided in the question, it appears that one dimension might be missing or assumed to be a specific value.
Assuming we're working with a rectangular prism and the missing dimension is provided indirectly through the multiple choices, we can solve for the height \( h \) based on the given answers.
The volume \( V \) of a rectangular prism is calculated using the formula:
\[ V = \text{length} \times \text{width} \times \text{height} \]
Let's denote the given dimensions as:
- Length (\( l \)) = 2.4 units
- Width (\( w \)) = 6.9 units
- Height (\( h \)) = ?
We need to match the possible volume to find the correct height.
**Given Possible Volumes:**
- 124.9 units³
- 134.9 units³
- 144.9 units³
- 154.9 units³
Test possible heights:
1. \( 124.9 = 2.4 \times 6.9 \times h \)
2. \( 134.9 = 2.4 \times 6.9 \times h \)
3. \( 144.9 = 2.4 \times 6.9 \times h \)
4. \( 154.9 = 2.4 \times 6.9 \times h \)
Calculate the combined area of the base:
\[ 2.4 \times 6.9 = 16.56 \]
Now divide the possible volumes by this base area:
1. \( h = \frac{124.9}{16.56} \approx 7.54 \)
2. \( h = \frac{134.9}{16.56} \approx 8.15 \)
3. \( h = \frac{144.9}{16.56} \approx 8.75 \)
4. \( h = \frac{154.9}{16.56} \approx 9.36 \)
The volume calculation suggests the second option:
\[ V = 2.4 \times 6.9 \times 8.75 \approx 144.9 \]
The height that matches an integer value for the volume closest to the actual given choices with clean decimal calculations is 8.75 units, which makes the correct volume:
\[ 2.4 \times 6.9 \times 8.75 \approx 144.9 \]
Thus, the volume of the figure should be:
\[ \boxed{144.9 \text{ units cubed}} \]
5. What is the volume of figure 1, 2.4 by 6.9?
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Captionless Image
124.9 units cubed
134.9 units cubed
144.9 units cubed
154.9 units cubed
1 answer