Transcript Document 7162050

By
Mrs. Czajkowski
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Polygons
Perimeter
Area
Volume
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A100
Question: What is the name of a
five sided polygon?
Answer: A pentagon is a five sided polygon.
A200
Question: How many sides
does an octagon have?
Answer: An octagon has eight sides.
A300
Question: What is the fewest number of
sides needed to make a polygon?
Answer: Three sides are needed
to make a polygon.
(That polygon is called a triangle!)
A400
Question: What is a quadrilateral that
has two parallel bases called?
Answer: A trapezoid is a quadrilateral
that has two parallel bases.
A500
Question: How many sides and how many
angles does an decagon have?
Answer: A decagon has 10 sides
and it also has 10 angles.
A600
Question: What is the greatest number of
obtuse angles that a quadrilateral can have?
Answer: A quadrilateral can have no
more than two obtuse angles.
A700
Question: Which type of quadrilateral is an
equiangular quadrilateral, but is
not an equilateral quadrilateral?
Answer: A rectangle is equiangular,
but not equilateral.
A800
Question:You know what a polygon is!
Now, define regular polygon.
Answer:A regular polygon is a polygon that
has all congruent sides and all
congruent angles.
A900
Question: Which type of quadrilateral is
equilateral but not equiangular?
Answer: A rhombus has all sides congruent,
but its angles are not.
A1000
Question: Name all the quadrilaterals
that have four congruent sides.
Answer: A square and a rhombus are the
quadrilaterals that have four
congruent sides.
B100
Question: What is the perimeter of a triangle
that has sides measuring 4 cm, 5cm,
and 8 cm ?
Answer:The perimeter of a triangle
that has sides measuring 4 cm, 5cm,
and 8 cm is 17 centimeters.
B200
Question: What is the perimeter of a
rectangle that is 8 centimeters
long and 3 centimeters wide?
Answer: The perimeter of a rectangle that is
8 centimeters long and 3 centimeters
wide is 22 centimeters.
B300
Question: What is the perimeter of a
regular octagon that has a side that
measures 8 centimeters?
Answer: A regular octagon has eight
congruent sides. Its perimeter
would be 64 centimeters.
B400
Question: Describe a method of finding the
perimeter of a square if you know
the area of the same square.
Answer: Calculate the square root of the
area to find the length of a side
of the square. Multiply that
length by four to find the perimeter!
B500
Question: If the length of a rectangle
measures twice the width, and the
perimeter is 72 feet, find the
dimensions of the rectangle.
Answer: The length of the rectangle is 24
feet and the width is 12 feet.
(Check: 24 + 12 + 24 + 12 = 72)
B600
Question: The perimeter of an equilateral
triangle is 27 centimeters. Find the
measure of each of its sides.
Answer: Each side of the triangle
measures 9 centimeters.
B700
Question: The base of an isosceles triangle
measures 6 inches. If the measure
of each of the congruent sides is
twice the measure of the base, find
the perimeter of the triangle.
Answer: The perimeter of the triangle is
6 + 12 + 12
or
30 inches.
B800
Question: The area of a square is
36 square inches. Find the
perimeter of the square.
Answer: The perimeter of the square
is 4 times 6 or 24 inches.
B900
Question: A rectangle measures 9 feet
by 12 feet. How many yards
are in the perimeter of the
rectangle?
Answer: The perimeter is
3 + 4 + 3 + 4 or 14 yards.
B1000
Question: An isoceles trapezoid has bases that
measure 10 inches and 15 inches. A
side of the trapezoid measures 8
inches. Find the perimeter.
Answer: The perimeter of the
trapezoid is
8+ 8 + 10 + 15 or 41 inches.
C100
Question: Calculate the area of an
isosceles right triangle that has
legs measuring 8 centimeters.
Answer: The area is 32 square centimeters.
C200
Question: The area of a trapezoid is 24 square
yards. The measures of the bases
are 3 yards and 9 yards.
Find the measure of the altitude.
Answer: The altitude measures 4 yards.
C300
Question: A baseball diamond is a square
measuring 90 feet on each side.
What is the area of the infield
(inside the diamond)?
Answer: The area is 90 times 90 or
8100 square feet.
C400
Question: How many 1” by 1” squares will fit
into a rectangle that measures
4” by 12” ?
Answer: 48 squares will fit into the rectangle.
C500
Question: What is the area of a trapezoid that
has a height of 12 centimeters and
bases of 2 meters and 30 centimeters?
Answer: (Notice that one of the bases is
measured in meters!!!) The area of the
trapezoid is 780 square centimeters.
C600
Question: Linoleum costs $7 a square yard.
Calculate the cost to cover a
9 foot by 15 foot kitchen floor.
Answer: The kitchen floor is 15 square
yards. It would cost $105 to
cover the kitchen floor.
C700
Question: The area of a right triangle is
84 square inches. If one leg
measures 14 inches, find the
measure of the other leg.
Answer: The other leg of the triangle
measures 12 inches.
C800
Question: The area of a small square is 49
square meters. A larger square has
sides that are twice as long. What
is the measure of one side of the
larger square?
Answer: (The sides of the smaller square
measure 7 meters.)
The sides of the larger
square must measure
14 meters!
C900
Question: Find the area of a rectangle that
has a perimeter of 34 inches and
a base of 15 inches.
Answer: The area of the rectangle is
2 times 15
or
30 square inches.
C1000
Question: The dimensions of a rectangle
are 9 ft. by 12 ft. Find the
number of sq. yds. in the area
of the rectangle.
Answer: The rectangle has an area
of 12 square yards.
D100
Question: Find the volume of a cube that
measures 6 centimeters on a side.
Answer: The volume of the cube
is 216 cubic centimeters.
D200
Question: Find the volume of a rectangular
prism that has a base area of 54
square inches and a height of 8 inches.
Answer: The volume is 54 times 8
which equals 432 cubic inches.
D300
Question: Find the volume of a cylinder whose
base has a radius of 5 inches, and
whose height measures 3 inches.
(Use  = 3.14)
Answer: The volume of the cylinder
is 235.5 cubic inches.
D400
Question: Find the volume of a rectangular
prism that has a lenth of 8.5 cm, a
width of 4.2 cm, and a height of 6 cm.
Answer: The volume of the prism is
214.2 cubic centimeters.
D500
Question: If one cubic centimeter of a
liquid weighs 2 grams, how much
does one cubic meter of the same
liquid weigh?
Answer: A cubic meter is equal to 1000
cubic centimeters. The liquid would
weigh 2000 grams or 2 kilograms.
D600
Question: Find the volume of a pyramid that is
4 inches high, and has a rectangular base
that is 6 inches long and 3.5 inches wide.
Answer: The volume is equal to 28 cubic inches.
D700
Question: The largest pyramid in the world was
built around 2500 B.C. by Khufu, or Cheops,
a king of ancient Egypt. The pyramid had a
square base, 230 meters on each side, and
a height of 147 meters. Find the volume of
Cheop’s pyramid.
Answer: Cheop’s pyramid had a volume of
2,592,100 cubic meters.
D800
Question: What is the exact volume of a
cylinder that has a 21 inch radius
and a height of 10 inches?
Answer: The volume is equal to 4410.
D900
Question: A cone has a base that is 14 inches
wide. The height of the cone is 6 inches.
Find the exact volume of the cone.
Answer: The volume is equal to 98.
D1000
Question: Find the exact volume of a sphere
that has a radius of 30 cm.
r3
Answer: The volume is equal to 36,000.