d. After construction, the raised fire pit will have a volume of 0.99m^3 If the volume of the enlargement is 26.73m^3 what scale factor was used?

## Step 1: Find the ratio of the volumes### The problem states the volume of the raised fire pit is and the enlarged volume is . The ratio of the enlarged volume to the original volume is .## Step 2: Calculate the ratio### Dividing the enlarged volume by the original volume gives us . This represents the ratio of the volumes.## Step 3: Determine the scale factor### The scale factor relates to the ratio of the corresponding lengths, not volumes. Since volume is a cubic measure (length width height), the scale factor is the cube root of the volume ratio. Therefore, the scale factor is .