SOLUTION: MATHEMATICS-GRADE 10 ASSIGNMENT
a brick-walled,fixed dog kennel in the form of a 15-units by 20-units by 10-units rectangular prism was built ,the roof was just a rectangular
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Question 953652: MATHEMATICS-GRADE 10 ASSIGNMENT
a brick-walled,fixed dog kennel in the form of a 15-units by 20-units by 10-units rectangular prism was built ,the roof was just a rectangular concrete slab.a 2units square entrance space was opened in the on the longer surface of the kennel. due to limited space at the compound ,pyramidal-wooden pigeon hall units high was built on top of the kennel. calculate the outer surface area of the rectangular kennel
calculate the outer surface area of the pyramidal pigeonhole
total surface area of the whole structure
calculate the volume of the whole structure
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a brick-walled,fixed dog kennel in the form of a
-units by -units by -units rectangular prism was built ,
the roof was just a rectangular concrete slab=>-units by
all together is a rectangular prism, and the total surface area is:
units square entrance space was opened in the on the longer surface of the kennel
units square entrance that should be from the surface area of the rectangular prism
the surface area of the rectangular kennel
due to limited space at the compound , pyramidal-wooden pigeon hall units high was built on top of the kennel
A rectangular pyramid is made up of rectangular base and triangles going up from the base to the top of the pyramid.
The surface area is the area of all five parts added together.
in your case rectangular base is already part of surface area of the rectangular kennel, so we need only of triangles ,
note that of them have base length units and of them have base length of units
so, we need higth (I do not see it is given for the pyramidal pigeonhole)
and
so, to calculate the outer surface area of the pyramidal pigeonhole we need and I can just do it using same higth as given for kennel
total surface area of the whole structure:
squared units
calculate the volume of the whole structure:
cubic units
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