Question
If the right triangular prism is dilated using a scale factor of 3, what would be the volume of the dilated prism?
(1 point)
cm3
(1 point)
cm3
Answers
GPT-4o mini
To calculate the volume of a dilated right triangular prism, we need to understand how dilation affects its volume.
When a three-dimensional object is dilated by a scale factor of \( k \), the volume of the dilated object is multiplied by \( k^3 \).
Let's denote the original volume of the triangular prism as \( V \). If the scale factor of the dilation is 3, then the volume of the dilated prism \( V' \) can be calculated as follows:
\[
V' = k^3 \times V = 3^3 \times V = 27 \times V
\]
Thus, the volume of the dilated prism is 27 times the volume of the original prism.
Without knowing the original volume \( V \) of the prism, we cannot provide a specific numerical answer in cm³.
If you provide the original volume, I can help calculate the new volume!
When a three-dimensional object is dilated by a scale factor of \( k \), the volume of the dilated object is multiplied by \( k^3 \).
Let's denote the original volume of the triangular prism as \( V \). If the scale factor of the dilation is 3, then the volume of the dilated prism \( V' \) can be calculated as follows:
\[
V' = k^3 \times V = 3^3 \times V = 27 \times V
\]
Thus, the volume of the dilated prism is 27 times the volume of the original prism.
Without knowing the original volume \( V \) of the prism, we cannot provide a specific numerical answer in cm³.
If you provide the original volume, I can help calculate the new volume!