If the volume to a triangular prism is
4136
3
, which of the following responses cannot be the measurements of the prism?
To find the measurements of the prism that would result in a volume of 41363, we can use the formula for the volume of a triangular prism:
Volume = (1/2) * base * height * length
So, we need to find three numbers that multiply together to give 41363.
The prime factorization of 41363 is:
41363 = 7 * 11 * 13 * 43
So, the possible combinations of base, height, and length that could result in a volume of 41363 are:
(1/2) * 7 * 11 * 13 = 500.5
(1/2) * 7 * 11 * 43 = 1617.5
(1/2) * 7 * 13 * 43 = 2049.5
(1/2) * 11 * 13 * 43 = 2363.5
Therefore, the volume of 41363 cannot be achieved with the measurements of a triangular prism.