A cook has a set of four mixing bowls with lids. The bowls stack inside each other and are similar to each other. The surface areas of the two largest bowls are 2300 cm^2 and 1100 cm^2. The scale factor is the same from each bowl to the next smaller bowl. Estimate the surface areas of the two smaller bowls.
To find the scale factor, we can divide the surface area of the largest bowl by the surface area of the second largest bowl:
2300 cm^2 / 1100 cm^2 ≈ 2.09
This means that the scale factor between each consecutive bowl is approximately 2.09.
To estimate the surface area of the second smallest bowl, we can multiply the surface area of the largest bowl by the scale factor:
2300 cm^2 / 2.09 ≈ 1100 cm^2
Therefore, we estimate the surface area of the second smallest bowl to be approximately 1100 cm^2.
To estimate the surface area of the smallest bowl, we can multiply the surface area of the second largest bowl by the scale factor again:
1100 cm^2 / 2.09 ≈ 525 cm^2
Therefore, we estimate the surface area of the smallest bowl to be approximately 525 cm^2.