Question

A pyramid art installation has a surface area of 24 m2. An artist creates replicas with scale factors of 1/8, 1/10, and 1/12. What is the surface area of each replica?

Answer 1

To find the surface area of each replica, we can use the formula: Surface Area = (scale factor)^2 x Surface Area of the original pyramid. For the replica with a scale factor of 1/8, the surface area is 0.375 m^2. Similarly, for the replicas with scale factors of 1/10 and 1/12, the surface areas are 0.24 m^2 and 0.1667 m^2, respectively.

Step-by-step explanation:

To find the surface area of each replica, we can use the formula:

Surface Area = (scale factor)^2 × Surface Area of the original pyramid

For the replica with a scale factor of 1/8:

Surface Area = (1/8)^2 × 24 m^2

Surface Area = 1/64 × 24 m^2

Surface Area = 24/64 m^2

Surface Area = 0.375 m^2

Similarly, for the replicas with scale factors of 1/10 and 1/12, the surface areas are 0.24 m^2 and 0.1667 m^2, respectively.

Answer 2

1/8 = 0.38 m^2

1/10= 0.24 m^2

1/12= 0.17 m^2

Step-by-step explanation: