What is the surface area of the three congruent rectangular bases?

9cm×17cm. 17cm×9. 17× 9cm
Options are
459 cm^2
153 cm^2
529.20 cm^2
306 cm^2

1 answer

The formula to calculate the surface area of a rectangular base is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.

Since all three bases are congruent, we can calculate the surface area of one base and then multiply it by 3.

For the first base:
Surface area = 2(9)(17) + 2(9)(17) + 2(17)(17)
Surface area = 306 + 306 + 578
Surface area = 1190 cm^2

Since all three bases are congruent, the total surface area of all three bases is 3 times the surface area of one base:
3(1190) = 3570 cm^2

Therefore, the surface area of the three congruent rectangular bases is 3570 cm^2. Option D (306 cm^2) is incorrect.