a.
To find: The scale factor between model house and farm house.
a.
Answer to Problem 12.7MPS
The scale factor between model house and farm house is about
Explanation of Solution
Given information:
The length, width and depth of the farm house is mentioned in the problem and also the depth of model house is mentioned in the problem.
Formula used:
Differences in depth of farm house.
Calculation:
Consider the length, width and depth of the farm house is mentioned in the problem and also the depth of model house is mentioned in the problem.
For the farm house the length is
For the model house the depth is
Therefore the scale factor between model house and farm house is
b.
To find: The width of the model house.
b.
Answer to Problem 12.7MPS
The width of the model house is
Explanation of Solution
Given information:
The length, width and depth of the farm house is mentioned in the problem and also the depth of model house is mentioned in the problem.
Formula used:
Width of model house will remain as similar of farm house.
Calculation:
Consider the length, width and depth of the farm house is mentioned in the problem and also the depth of model house is mentioned in the problem.
For the farm house the length is
For the model house the depth is
Recall that width of model house will remain as similar of farm house
Therefore width of the model house is
c.
To find: The height of the model house.
c.
Answer to Problem 12.7MPS
The height of the model house is
Explanation of Solution
Given information:
The length, width and depth of the farm house is mentioned in the problem and also the depth of model house is mentioned in the problem.
Formula used:
Height
Calculation:
Consider the length, width and depth of the farm house is mentioned in the problem and also the depth of model house is mentioned in the problem.
For the farm house the length is
For the model house the depth is
Recall that height
Therefore the height of the model house is
d.
To find: The volume of the farm house.
d.
Answer to Problem 12.7MPS
The volume of the farm house is
Explanation of Solution
Given information:
The length, width and depth of the farm house is mentioned in the problem.
Formula used:
Volume of cuboid =
Calculation:
Consider the length, width and depth of the farm house is mentioned in the problem.
Recall thatVolume of cuboid =
For the farm house the length is
Therefore volume of farm house is
Therefore the volume of the farm house is
e.
To find: The volume of the model.
e.
Answer to Problem 12.7MPS
The volume of the model house is
Explanation of Solution
Given information:
The length, width and depth of the model house is mentioned in the problem.
Formula used:
Volume of cuboid =
Calculation:
Consider the length, width and depth of the model house is mentioned in the problem.
Recall that Volume of cuboid =
For the farm house the length is
Therefore volume of model house is
Therefore the volume of the model house is
Chapter SH Solutions
Pre-Algebra Student Edition
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