Question

You look at a button under a magnifying glass. Find the actual length of the button. The image of the button is 4 times the button's actual size and has a diameter of 6 cm. The button's actual diameter is cm.

Answer 1

The button's actual diameter is calculated by dividing the magnified diameter (6 cm) by the magnification factor (4), resulting in an actual diameter of 1.5 cm.

Step-by-step explanation:

The student is asked to find the actual diameter of a button, given that the image seen through the magnifying glass appears 4 times larger than its actual size, and the measured diameter under the magnifying glass is 6 cm. To find the actual diameter, we must divide the diameter observed through the magnifying glass by the magnification factor.

The calculation would be as follows:

• Diameter of the button's image = 6 cm
• Magnification factor = 4
• Actual diameter of the button = Diameter of the button's image / Magnification factor
• Actual diameter of the button = 6 cm / 4
• Actual diameter of the button = 1.5 cm

Therefore, the button's actual diameter is 1.5 cm.