alice builds a model house she uses a scale of 1:20 the height of the real house is 10 meters.
(i) what is the height of the model.
the width of the model is 80cm
(ii) what is the height of the real house
10/20 = 1/2 = .5 meters = 500 cm
in (ii) do you not want the WIDTH of the real house
If so 80 cm = .8 m
.8 m * 20 = 16 meters wide
(i) Well, if Alice used a scale of 1:20, that means for every 1 meter in the real house, the model house is 1/20th of a meter. So, to find the height of the model house, we can multiply the height of the real house (10 meters) by the scale factor (1/20):
Height of the model house = 10 meters * (1/20) = 0.5 meters
Therefore, the height of the model house is 0.5 meters.
(ii) Ah, the height of the real house! To find that, we can do the reverse - knowing the scale of 1:20, we need to find out how many times the actual height of the model house (0.5 meters) fits into 1 meter:
Height of the real house = 1 meter / 0.5 meters = 2
So, the height of the real house is 2 meters. Enjoy living in the land of scaled-down models!
(i) To find the height of the model house, you can use the scale ratio. The scale ratio of 1:20 means that every 1 unit in the model represents 20 units in real life.
Since the height of the real house is 10 meters, you can calculate the height of the model house by dividing the height of the real house by the scale ratio:
Height of the model house = Height of the real house / Scale ratio
= 10 meters / 20
= 0.5 meters
Therefore, the height of the model house is 0.5 meters.
(ii) To find the height of the real house, you need to do the opposite calculation. Since the width of the model house is given, you can use the same scale ratio to find the height of the real house.
The width of the model house is 80 cm. Using the scale ratio of 1:20, you can calculate the width of the real house by multiplying the width of the model house by the scale ratio:
Width of the real house = Width of the model house * Scale ratio
= 80 cm * 20
= 1600 cm
Therefore, the width of the real house is 1600 cm.
Note: In the question, we were asked for the height of the real house, but the width was given. So, the calculation provided above is for the width of the real house, not the height.
To find the height of the model house and the height of the real house, we first need to understand the scale ratio.
(i) To find the height of the model:
The scale mentioned is 1:20, which means that every unit on the model represents 20 units in the real house. Since the height of the real house is 10 meters, we need to divide it by the scale factor (20) to find the height of the model house.
Height of the model house = Height of the real house / Scale ratio
= 10 meters / 20
= 0.5 meters or 50 centimeters
Therefore, the height of the model house is 0.5 meters or 50 centimeters.
(ii) To find the height of the real house:
Since we know the height of the model house (0.5 meters or 50 centimeters) and the scale ratio (1:20), we can multiply the height of the model house by the scale factor (20) to find the height of the real house.
Height of the real house = Height of the model house * Scale ratio
= 0.5 meters * 20
= 10 meters
Therefore, the height of the real house is 10 meters.