When a polyhedron with a given volume is dilated by a scale factor, the new volume is calculated by multiplying the original volume by the cube of the scale factor. So, a dilation of a polyhedron with an original volume of 23 cm³ by a scale factor of 1/3 gives a new volume of approximately 2.56 cm³.
In mathematics, a dilation is a transformation that changes the size of a figure without changing its shape. The degree of enlargement or reduction is called the scale factor.
In the question, the original volume of the polyhedron is 23 cm³ and it is dilated by a scale factor of 1/3. However, we need to remember that volume is associated with three dimensions. Therefore, when a polyhedron is dilated, each dimension (length, width, and height) is affected by the scale factor. Thus, to find the new volume, we apply the cube of the scale factor to the original volume.
In this case, the new volume V' would be calculated as: V' = V x (scale factor)³, which gives us V' = 23 cm³ x (1/3)³. Calculating this we get V' = approximately 2.56 cm³.
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Answer:
What he said below was that it was your second choice
(hope this helps or at least thats what i got from it)
Answer:
none of the answers
Step-by-step explanation:
16x8=128 and if you double it and half it, it would still be 128. none of the answer choices equal 128.