Final answer:
To find the area of a shape with a length of 6 meters and height of 630 cm, first convert the height to meters, which is 6.3 m. Then, use the formula for area of a rectangle to get 37.8 m². Upon converting it to cm², the result is 37800 cm².
Step-by-step explanation:
The question asks for the area of a shape given its length and height, which are provided in different units: meters for length and centimeters for height. First, we need to make sure the units are the same, so we'll convert height from cm to m. There are 100 cm in 1 m, so 630 cm is equal to 630 cm ÷ 100 = 6.3 m. Now, both length and height are in meters, we can calculate the area.
The formula for the area of a rectangle is length × height. Given that the length is 6 m and the height is 6.3 m, we can calculate the area by multiplying these two numbers:
Area = length × height = 6 m × 6.3 m = 37.8 m².
To express this in square centimeters (cm²), we multiply by 100² (since there are 100 cm in every m):
37.8 m² × 100 cm/m × 100 cm/m = 37800 cm².
Therefore, the correct answer is 37800 cm², which corresponds to option (c).