Question

An artist has made a small miniature of a big idol. He has taken the scale as 1 cm for 12 cm. If the idol is 480 cm tall actually then how tall is the miniature?

Answer 1

To find the height of the scale model when the scale is 1 cm for 12 cm and the actual idol is 480 cm tall, we set up a proportion and solve for the model's height. The calculation results in a model height of 40 cm.

Step-by-step explanation:

The student's question involves a scale model problem in mathematics. When an artist creates a miniature at a scale of 1 cm for 12 cm, this means that for every centimeter on the miniature, the actual object is 12 centimeters in real size. To determine the height of the miniature idol, when the actual idol is 480 cm tall, we use a simple proportion:

• Scale: 1 cm (miniature) = 12 cm (actual)
• Actual height of idol: 480 cm

To find the height of the miniature, we set up a proportion:

1 cm / 12 cm = x cm (miniature) / 480 cm (actual)

Cross-multiplying gives us:

1 cm × 480 cm = x cm × 12 cm

Therefore:

480 = 12x

Now, dividing both sides by 12:

x = 480 / 12

x = 40 cm

So, the height of the miniature idol is 40 cm.