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?

9,270,000 sq m

Step-by-step explanation:

From the question,

Length = 24cm

Width = 21cm

Height = 30cm

Scale used = 1cm : 50m

Actual Length = 24 × 50 = 1200m

Width = 21 × 50 = 1050m

Height = 30 × 50 = 1500m

The surface area will then be calculated as:

= 2(1200 x 1050) + 2( 1050 x 1500) + 2(1500 x 1200)

= 2(1260000) + 2(1575000) + 2(1800000)

= 2,520,000 + 3,150,000 + 3,600,000

= 9,270,000 sq m

x/3-10=8

x/3=18

x=48