Name: __________________________________ Date: ___________________ Hour: ___________
Name: __________________________________ Name: __________________________________
Lesson 5.2 – 5.6 – Geometry Formulas
Follow the directions below and use the rubric to ensure that you receive full credit.
1.)
2.)
3.)
4.)
5.)
5.)
Work in groups of two or three.
Choose a problem group (triangles, polygons/quadrilaterals, circles).
Solve each problem.
On a separate piece of paper, recreate the problem.
Must include the problem, formula, solution, and a picture (with labels).
Attach each solution to create a poster to be displayed around the room.
Follow the rubric to ensure full credit.
a.)
Contains all problems (5). Include the story and solution.
__________ (5 points)
b.)
Problems are solved correctly (with units and formula).
__________ (10 points)
c.)
Pictures are drawn to model the situation. Label the dimensions.
__________ (10 points)
d.)
Poster is neat.
__________ (3 points)
__________ (28 points)
Attach this sheet to your completed poster.
Name: ___________________________________ Date: ______________________ Hour: _______
Triangles
Draw a picture and solve each question using a geometry concept or formula. Show your work on a
poster.
1.)
The sides of the Great Pyramid of Giza are isosceles triangles. The angle at the top of the pyramid
measures 117˚. What is the measure of each base angle?
2.)
The side of a triangular boat sail measures 9 feet and the height measures 6 feet. How much fabric
was used to make the sail?
3.)
A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally
opposite corner pocket?
4.)
On their day off, ______________and ______________ went to the aquarium. The aquarium has
a shark tank in the shape of a triangular prism. The shark tank has a height of 100 feet, a length of
120 feet, and a width of 80 feet. How much water fits inside of the aquarium?
5.)
Long Tall Tent Company makes tents in the shape of regular triangular prisms. One particular
model has a length of 7 feet, width of 6 feet, and a height of 4 feet. How much material does it take
to make one tent?
Name: ___________________________________ Date: ______________________ Hour: _______
Triangles
Draw a picture and solve each question using a geometry concept or formula. Show your work on a
poster.
1.)
The sides of the Great Pyramid of Giza are isosceles triangles. The angle at the top of the pyramid
measures 117˚. What is the measure of each base angle?
2.)
The side of a triangular boat sail measures 9 feet and the height measures 6 feet. How much fabric
was used to make the sail?
3.)
A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally
opposite corner pocket?
4.)
On their day off, ______________and ______________ went to the aquarium. The aquarium has
a shark tank in the shape of a triangular prism. The shark tank has a height of 100 feet, a length of
120 feet, and a width of 80 feet. How much water fits inside of the aquarium?
5.)
Long Tall Tent Company makes tents in the shape of regular triangular prisms. One particular
model has a length of 7 feet, width of 6 feet, and a height of 4 feet. How much material does it take
to make one tent?
Name: ___________________________________ Date: ______________________ Hour: _______
Polygons/Quadrilaterals
Draw a picture and solve each question using a geometry concept or formula. Show your work on a
poster.
1.)
______________ wants to build a fence around his/her yard so that his/her dog can run free. The
yard is 60 feet by 30 feet. How much fencing does ______________ need to enclose his/her yard?
2.)
A park is in the shape of a trapezoid whose bases measure 128 meters and 92 meters, and its
height is 40 meters. What is the area of the park?
3.)
A stop sign is in the shape of a regular octagon. What is the measure of one of the interior angles
of a stop sign?
4.)
A cereal box has a length of 8 inches, a width of 1.75 inches, and a height of 12 inches. How much
cereal fits inside the box?
5.)
______________ is wrapping a present for ______________’s birthday. The box measures 6.2 cm
by 9.9 cm by 5.1 cm. How much wrapping paper, not counting overlap, does ______________
need?
Name: ___________________________________ Date: ______________________ Hour: _______
Polygons/Quadrilaterals
Draw a picture and solve each question using a geometry concept or formula. Show your work on a
poster.
1.)
______________ wants to build a fence around his/her yard so that his/her dog can run free. The
yard is 60 feet by 30 feet. How much fencing does ______________ need to enclose his/her yard?
2.)
A park is in the shape of a trapezoid whose bases measure 128 meters and 92 meters, and its
height is 40 meters. What is the area of the park?
3.)
A stop sign is in the shape of a regular octagon. What is the measure of one of the interior angles
of a stop sign?
4.)
A cereal box has a length of 8 inches, a width of 1.75 inches, and a height of 12 inches. How much
cereal fits inside the box?
5.)
______________ is wrapping a present for ______________’s birthday. The box measures 6.2 cm
by 9.9 cm by 5.1 cm. How much wrapping paper, not counting overlap, does ______________
need?
Name: ___________________________________ Date: ______________________ Hour: _______
Circles
Draw a picture and solve each question using a geometry concept or formula. Show your work on a
poster.
1.)
A circular racetrack has a diameter of 0.5 miles. How far does a car travel in one lap around the
track?
2.)
______________ purchased a circular exercise pen with a radius of 2.5 feet to keep his/her new
puppy safe. How much space does the puppy have to exercise in?
3.)
A cylindrical bird feeder has a diameter of 4 inches and a height of 18 inches. How much birdseed
can the feeder hold?
4.)
______________ has the flu, so he/she decides to make chicken noodle soup. How many square
inches of metal were used to make ______________’s can of soup if the diameter of the can is 3
inches and the height is 4.5 inches?
5.)
An ice rink is made up of a rectangle and two semicircles. The width of the rink is 85 feet. The
length (between the semicircles) is 200 feet. How much ice is needed to cover the rink?
Name: ___________________________________ Date: ______________________ Hour: _______
Circles
Draw a picture and solve each question using a geometry concept or formula. Show your work on a
poster.
1.)
A circular racetrack has a diameter of 0.5 miles. How far does a car travel in one lap around the
track?
2.)
______________ purchased a circular exercise pen with a radius of 2.5 feet to keep his/her new
puppy safe. How much space does the puppy have to exercise in?
3.)
A cylindrical bird feeder has a diameter of 4 inches and a height of 18 inches. How much birdseed
can the feeder hold?
4.)
______________ has the flu, so he/she decides to make chicken noodle soup. How many square
inches of metal were used to make ______________’s can of soup if the diameter of the can is 3
inches and the height is 4.5 inches?
5.)
An ice rink is made up of a rectangle and two semicircles. The width of the rink is 85 feet. The
length (between the semicircles) is 200 feet. How much ice is needed to cover the rink?