Question

Kamal made a replica of the Kaaba located in Mecca, Saudi Arabia. The dimensions of his replica are 24 cm long by 21 cm wide by 30 cm high.

What is the surface area of the actual Kaaba in meters if the scale factor is 50?
Enter your answer as a whole number with appropriate units, formatted like this: 42 m^2

Another Brainly user answered: 9,270,000 m^2 that answer is showing up as incorrect

Answer 1

Answer:

927 m²

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Dimensions of Kaaba replica made by Kamal = 24 cm long by 21 cm wide by 30 cm high

Scale factor = 50

2. What is the surface area of the actual Kaaba in meters?

For answering the question, we will make the following calculations:

Surface area of the replica = 2 * (24 * 21) + 2 * (30 * 24) + 2 * (30 * 21)

Surface area of the replica = 1,008 + 1,440 + 1,260 = 3,708 cm²

Therefore,

1 m = 100 cm

Actual surface area of the Kaaba = 2 * (0.24 * 50 * 0.21 * 50) + 2 * (0.30 * 50 * 0.24 * 50) + 2 * (0.30 * 50 *0.21  * 50)

Actual surface area of the Kaaba = 252 + 360 + 315 = 927 m²