A log cabin is shaped like a rectangular prism. A model of the cabin has a scale of 1 cm to 0.5 m.
If the model is 14 cm by 20 cm by 7 cm, what are the dimensions of the actual log cabin? Explain how to find the dimensions.
1 m / 2 cm
14 cm (1 m / 2 cm) = 7 m
20 (1/2) = 10 m
7 (1/2) = 3.5 m
A log cabin is shaped like a rectangular prism. A model of the cabin has a scale of 1 cm to 0.5 m.
a. If the model is 14 cm by 20 cm by 7 cm, what are the dimensions of the actual log cabin? Explain how to find the dimensions.
b. What is the volume of the actual log cabin? Explain how to find the volume.
c. What is the ratio of the volume of the model of the cabin to the volume of the actual cabin? Explain your method of finding the ratio.
To find the dimensions of the actual log cabin, we need to use the scale given. The scale tells us that 1 cm on the model represents 0.5 m in real life.
Given that the dimensions of the model are 14 cm by 20 cm by 7 cm, we can find the dimensions of the actual log cabin by multiplying each dimension of the model by the conversion factor of the scale.
First, let's convert the length dimension:
14 cm * 0.5 m/cm = 7 m
Next, let's convert the width dimension:
20 cm * 0.5 m/cm = 10 m
Finally, let's convert the height dimension:
7 cm * 0.5 m/cm = 3.5 m
Therefore, the dimensions of the actual log cabin are 7 m by 10 m by 3.5 m.