Question

A pyramid has a surface area of 24 m^2. An artist creates replicas with scale factors of 1:12, 1:10, and 1:8 What is the surface area of each replica?

Scale factor of 1/8: 0.38 m^2
Scale factor of 1/10: 0.24 m^2
Scale factor of 1/12: 0.17 m^2

Explanation: You must multiply the scale factor by the square root and multiply by 24.
sqr(1/8)) x 24 = 0.38, sqr(1/10)) x 24 = 0.24, sqr(1/12)) x 24 = 0.17

Answer 1

The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.

Explanation:

Given that a pyramid art installation has a surface area of 24 m2, and an artist creates replicas with scale factors of 1/8, 1/10, and 1/12, to determine what is the surface area of each replica, the following calculation has to be done:

24 x 1/8 = 3

24 x 1/10 = 2.4

24 x 1/12 = 2

Therefore, the replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.