The surface area of a window pane of length 20.5 cm and width 11.9 cm is (given in scientific notation and with the correct number of significant figures): A)2.4395 * 10² cm² B)2.440 * 10² cm² C)2.44 * 10² cm² D)2.4 * 10² cm² E)2.0 * 10² cm²

Question

Quizplus · Accepted Answer

The formula to find the surface area of a rectangle is:

Surface area = length x width

Substituting the given values:

Surface area = 20.5 cm x 11.9 cm

Surface area = 244.195 cm^2

Since the numbers given have 4 significant figures (20.5 and 11.9), the answer should also have 4 significant figures.

Converting 244.195 to scientific notation:

244.195 = 2.44195 x 10^2

Rounding to 4 significant figures:

2.44 x 10^2 cm^2

Therefore, choice C (2.44 x 10^2 cm^2) is the best choice with the correct number of significant figures and in scientific notation.

The Surface Area of a Window Pane of Length 20