A microprocessor is in the shape of a cube where the sides are 5 mm in length.
- (i)
Find the maximum number of microprocessors that can be placed into a container with dimensions 10 cm by 2 cm by 8 cm.
Answer ...
- (ii)
A model of the microprocessor was made to a scale of 10 : 1. Given that the surface area of microprocessor is 150 mm^2, find the surface area of the model microprocessor in square centimetres.
Answer ... cm^2
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Worked solution
b(i)
1. Convert the container dimensions to millimetres.
Since ,
, and .
2. Find the number of cubes that fit along each dimension and multiply.
Each microprocessor is a cube of side .
Number that fit:
microprocessors
b(ii)
1. Find the surface area of the model using the area scale factor.
Scale means the linear scale factor is .
Area scale factor .
Surface area of model
2. Convert the model surface area from square millimetres to square centimetres.
Since ,
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