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Geometry
Secondary Education
MAFS.912.G-MG.1.3 – Worksheet 1
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Name: _______________________________________________________ Date: ___/___/___
1. A satellite orbiting the earth uses radar to communicate with two control stations on the earth’s
surface. The satellite is in a geostationary orbit. That means that the satellite is always on the
line through the center of the earth and control station 2. From the perspective of Station 1, the
satellite is on the horizon and from the perspective of station 2; the satellite is always directly
overhead as in the following diagram.
Station 1
C
8.7 ○
Station 2
If the Earth is a sphere with a radius of 3963 miles, how many miles will a signal from Station 1
to the satellite and then to Station 2 travel?
2. A baker needs to make a square box, without a top, that is five inches deep and has a
volume of 720 cubic inches to hold a cake. To begin, the baker cuts a square from a
piece of cardboard. What is the side length of the square cardboard that the baker cut?
A.
B.
C.
D.
10 inches
12 inches
17 inches
22 inches
The School District of Palm Beach County
Geometry
Secondary Education
MAFS.912.G-MG.1.3 – Worksheet 1
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for this Standard
3. The parks and recreation department has agreed to build a half-pipe in a city park for
skateboarders. The construction will be 24 feet wide, consisting of 8-foot quarter-pipe
sections separated by an 8-foot section constructed from plywood. To support this
structure, steel cut-outs will be manufactured. The half-pipe will be 12 feet long, with
steel supports every 16 inches. The diagram below illustrates the design. What will be
the total area of the steel supporting ramp sections of the structure?
Use 3.14 for  .
8 FT
8 FT
8 FT
8 FT
Steel cut-outs
A.
B.
C.
D.
275.2 ft2
151,36 ft2
1105.28 ft2
247.68 ft2
4. A hotel ballroom has 9 inch square carpet tiles laid out in a 48 by 96 array. A local
carpet cleaning company won a bid to clean the carpeting for $0.10 a square foot after
they negotiated a deal with the hotel manager, who had only budgeted $0.05 per
square foot. How much more did the hotel manager pay for the cleaning than what he
had originally budgeted?
The School District of Palm Beach County
Geometry
Secondary Education
MAFS.912.G-MG.1.3 – Worksheet 1
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for this Standard
5. A local artist is designing a metal triangle sculpture for the entrance to an art museum.
The triangle has a perimeter of 100 meters and one side is 35 meters. The other two
sides have a ratio of 5 : 8. What is the length of the longest side of the triangle?
A.
B.
C.
D.
65 meters
40 meters
35 meters
5 meters
The School District of Palm Beach County