Similar Figures and Volume Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 5 of 55 of 5 Items Question Use the image to answer the question. Determine the volume of the figure if it were dilated using a scale factor of 2. (1 point) cm3 Remaining Attempts : 3 Skip to navigation page 13 of 14 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To determine the volume of a figure after it has been dilated using a scale factor, you follow these steps:

1. Find the original volume (V) of the figure. This step usually requires you to either know or calculate the volume based on the dimensions provided (length, width, height, radius, etc.).

2. Apply the scale factor to the original volume. When a three-dimensional figure is dilated by a scale factor \( k \), the new volume \( V' \) can be calculated using the formula: \[ V' = k^3 \times V \] where \( k \) is the scale factor.

In this case, the scale factor \( k \) is 2. Therefore, you will calculate: \[ V' = 2^3 \times V = 8 \times V \]

3. Calculate the final volume. Multiply the original volume by 8 (or the value of \( V \) once calculated).

If you have a specific volume for the original figure, you can substitute that volume into the equation to find the new volume after dilation. If you provide me with the original volume, I can help you calculate the new volume after dilation.