Question

candles the volume of a candle is 8 cubic inches. what is the volume of a similar candle that is larger by a scale factor of 1.5?

Explanation:

Step1: Recall Volume Scale Factor Rule

For similar solids, the ratio of volumes is the cube of the scale factor. Let the scale factor be \( k \), then volume ratio is \( k^3 \).

Step2: Calculate Volume of Larger Candle

Given original volume \( V_1 = 8 \) cubic inches, scale factor \( k = 1.5 \). The volume of the larger candle \( V_2 = V_1\times k^3 \). First, compute \( k^3=(1.5)^3 = 3.375 \). Then, \( V_2 = 8\times3.375 = 27 \).

Answer:

The volume of the larger similar candle is 27 cubic inches.