There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter than the next larger figure. The surface area of the largest figure is 588 in. 22. What is the surface area of the smallest figure?

Question

Hana Yates

Mathematics

2 September, 21:27

There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter than the next larger figure. The surface area of the largest figure is 588 in. 22. What is the surface area of the smallest figure?

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Halle · Answer 1

From the statement given above, it can be deduced that the measure of the side of the figure is equal to 1 inch. Thus, the scale factor is 1:7. The ratio of their area should be 1:49. To get the area of the smallest figure, we simply divide the given area of the largest figure by 49, giving us the answer which is equal to 12 in².