Triangular prism B is the image of triangular prism A after dilation by a scale factor of 55. If the volume of triangular prism A is 29 kmcubed 3 , find the volume of triangular prism B, the image.
Question
Triangular prism B is the image of triangular prism A after dilation by a scale factor of 55. If the volume of triangular prism A is 29 kmcubed 3 , find the volume of triangular prism B, the image.
Solution
The volume of a shape after dilation by a scale factor of k is the volume of the original shape multiplied by k^3.
Given that the scale factor in this case is 55, the volume of triangular prism B would be the volume of triangular prism A multiplied by 55^3.
So, the volume of triangular prism B = 29 km^3 * 55^3 = 87418125 km^3.
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