Since the pool float ducky is similar to the bath time ducky, all corresponding sides will be in the same proportion.
Let's call the scale factor between the two ducks "k". In this case, k = 16.
To find the new surface area of the pool float ducky, we need to square the scale factor and multiply by the original surface area of the bath time ducky:
Surface area of pool float ducky = k^2 * surface area of bath time ducky
Surface area of pool float ducky = 16^2 * 84 cm^2
Surface area of pool float ducky = 21,504 cm^2
Therefore, the surface area of the pool float ducky will be 21,504 cm^2.
To find the new volume of the pool float ducky, we need to cube the scale factor and multiply by the original volume of the bath time ducky:
Volume of pool float ducky = k^3 * volume of bath time ducky
Volume of pool float ducky = 16^3 * 486 cm^3
Volume of pool float ducky = 1,228,800 cm^3
Therefore, the volume of the pool float ducky will be 1,228,800 cm^3.
Part B: This bath time rubber ducky has a surface area of 84 cm2 and a volume of 486 cm3. The bath time ducky and the pool float ducky are similar figures. If all of the dimensions of the bath time rubber ducky are multiplied by 16 to get this
pool float rubber ducky, what will the surface area and the volume of the pool float ducky be?
1 answer
1 answer