Question
3. Quincy is making a scale drawing of his house.He knows his house is 18 ft high. If every 3.5 centimeters on his drawing equals 10 feet, what is the height of his house in the drawing?
Answer
4
(225 Votes)
Gabriella
Professional · Tutor for 6 years
Answer
6.3 cm
Explanation
This is a question about scale conversion. In this case, Quincy's scale is 3.5 cm : 10 ft. This means that for every 10 ft in real life, Quincy will draw 3.5 cm on his drawing. Here is how you could approach this problem:First, convert the height of Quincy's house from feet to the equivalent in the scale drawing. In the scale provided by Quincy (3.5 cm to 10 ft), the ratio is 3.5 cm:10 ft so for each foot in real life, he is drawing 3.5 cm / 10 ft = 0.35 cm/ft. Then multiply this ratio by the height of Quincy's house, which is 18 ft.Therefore, the height of Quincy's house in the drawing would be 18 ft * 0.35 cm/ft. The unit (feet) on the top and the bottom of the multiplication cancels out, which leaves us with a measurement in cm.