Question

The sculptor first made a 1:10 model from clay. This means that 1 inch on the model is equal to 10 inches on the real statue. What was the height of the clay model?

Answer 1

To find the height of the 1:10 scale clay model of the Athena Parthenos statue, one must convert the full-sized statue's height from feet to inches (502 inches) and then divide by the scale factor of 10, resulting in a model height of 50.2 inches.

Step-by-step explanation:

The student asked about the height of a clay model that was constructed as a 1:10 scale replica of the full-sized sculpture of Athena Parthenos, which is located in the Parthenon in Nashville, Tennessee. The actual sculpture stands 41 feet 10 inches tall. To find the height of the clay model, we can convert the statue's height into inches and then use the scale factor to determine the model's height. First, we convert the sculpture's height to inches:

• (41 feet x 12 inches/foot) + 10 inches = 502 inches

Now using the 1:10 scale factor, where 1 inch on the model equals 10 inches on the actual statue:

• Model height in inches = Real statue height in inches / 10
• Model height in inches = 502 inches / 10
• Model height in inches = 50.2 inches

Therefore, the height of the clay model is 50.2 inches.