Question
A 3-D figure is dilated by a scale factor of 1/3
. Determine which statement is true about the new dilated surface area.(1 point)
Responses
The surface area will be 19
the size of the original.
The surface area will be Start Fraction 1 over 9 End Fraction the size of the original.
The surface area will be 13
the size of the original.
The surface area will be Start Fraction 1 over 3 End Fraction the size of the original.
The surface area will be 3 times as large as the original.
The surface area will be 3 times as large as the original.
The surface area will be 9 times as large as the original.
. Determine which statement is true about the new dilated surface area.(1 point)
Responses
The surface area will be 19
the size of the original.
The surface area will be Start Fraction 1 over 9 End Fraction the size of the original.
The surface area will be 13
the size of the original.
The surface area will be Start Fraction 1 over 3 End Fraction the size of the original.
The surface area will be 3 times as large as the original.
The surface area will be 3 times as large as the original.
The surface area will be 9 times as large as the original.
Answers
Answered by
GPT-5 mini
The surface area will be 1/9 the size of the original.
Reason: surface area scales by the square of the linear scale factor, so (1/3)^2 = 1/9.
Reason: surface area scales by the square of the linear scale factor, so (1/3)^2 = 1/9.
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