Geometry I grade A q&a
Which statement regarding these four states is true? - (correct answer)B. The state with
the second lowest population has the lowest population density.
Find each population density, to the nearest hundredth. Which statement is true? -
(correct answer)D. Dish C and Dish D have approximately the same population density.
Marina wants to install security cameras in her store, which has dimensions 48 feet by
48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area
shaped like a right triangle.
How many cameras will be necessary to cover the entire store? - (correct answer)18
A city's bus line is used more as the urban population density increases. The more
people in an area, the more likely bus lines will be utilized.
The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2.
The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.
Which city's residents are more likely to use public buses? Explain. - (correct answer)D.
The residents of City A are more likely to use public transportation because the city has
the highest population density.
Crop yield is the ratio of the number of bushels harvested to the number of acres used
for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in
a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested? - (correct answer)553
Crop yield is the ratio of the number of bushels harvested to the number of acres used
for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans,
resulting in a crop yield of 40.5 bushels per acre.
,To the nearest whole acre, how many acres were harvested? - (correct answer)232
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism
can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the
company $0.50, while each cylindrical container costs $0.75.
Which packaging should the company use to minimize cost? Explain. - (correct
answer)A. The rectangular prism boxes should be used because they will cost the
company $2.50 less than using the cylindrical containers.
Crop yield is the ratio of the number of bushels harvested to the number of acres used
for the harvest. This year, a large farm harvested rice from 690 acres of farmland. The
crop yield was 7,553 bushels per acre. - (correct answer)5.2 million bushels
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is
deciding between two types of custom tiles. The square tile is foot by foot and costs
$0.45 per tile. The rectangular tile is 2 feet by foot and costs $0.80 per tile. - (correct
answer)B. She should choose the rectangular tiles because the total cost will be $8
less.
A company needs to package 7,560 beads. A wooden container shaped like a
rectangular prism can hold 180 beads. A plastic cylindrical container can hold 126
beads. The wooden container costs the company $0.70, while the plastic container
costs $0.40.
Which container should the company use to minimize cost? Explain. - (correct
answer)B. The plastic containers should be used because it will cost $5.40 more to use
the wooden containers.
Which pair of figures has the same number of faces as vertices? - (correct answer)C.
rectangular pyramid and triangular pyramid
,Which three-dimensional figure has the greatest number of faces? - (correct answer)B.
octagonal pyramid
How many vertices does a triangular prism have? - (correct answer)6
The rectangle shown is rotated about line k.
What is the approximate base area of the resulting figure? - (correct answer)C. 79 sq.
in.
Which three-dimensional figure has nine edges? - (correct answer)C. triangular prism
The equilateral triangle shown is rotated about line a. Each side of the triangle
measures 20 mm.
What shape is created by the rotation and what is the approximate circumference of the
base? - (correct answer)C. a cone with a base circumference of about 63 mm
What is the approximate base area of the resulting three-dimensional figure? - (correct
answer)B. 113 sq. cm
Which shape has a vertex that is also an apex? - (correct answer)D. pyramid
Two different cross sections are taken parallel to the base of a three-dimensional figure.
The two cross sections are the same shape, but are not congruent.
Which could be the three-dimensional figure? Check all that apply - (correct
answer)cone
triangular pyramid
, square pyramid
The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line
that passes through points C and F.
Which best describes the resulting three-dimensional shape? - (correct answer)C. a
cylinder with a base radius of 9 inches
An oblique prism has a base area of 3x2 square units.
What expression represents the volume of the prism, in cubic units? - (correct
answer)36x2
A right square prism has a volume of 360 cubic units.
Which could be the dimensions, in units, of the prism? Check all that apply - (correct
answer)3 by 3 by 40
6 by 6 by 10
2.5 by 12 by 12
3.6 by 10 by 10
The volume of the triangular prism is 54 cubic units.
What is the value of x? - (correct answer)3
An oblique rectangular prism with a square base has a volume of 539 cubic units. The
edges of the prism measure 7 by 7 by 14 units.
Which statement regarding these four states is true? - (correct answer)B. The state with
the second lowest population has the lowest population density.
Find each population density, to the nearest hundredth. Which statement is true? -
(correct answer)D. Dish C and Dish D have approximately the same population density.
Marina wants to install security cameras in her store, which has dimensions 48 feet by
48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area
shaped like a right triangle.
How many cameras will be necessary to cover the entire store? - (correct answer)18
A city's bus line is used more as the urban population density increases. The more
people in an area, the more likely bus lines will be utilized.
The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2.
The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.
Which city's residents are more likely to use public buses? Explain. - (correct answer)D.
The residents of City A are more likely to use public transportation because the city has
the highest population density.
Crop yield is the ratio of the number of bushels harvested to the number of acres used
for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in
a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested? - (correct answer)553
Crop yield is the ratio of the number of bushels harvested to the number of acres used
for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans,
resulting in a crop yield of 40.5 bushels per acre.
,To the nearest whole acre, how many acres were harvested? - (correct answer)232
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism
can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the
company $0.50, while each cylindrical container costs $0.75.
Which packaging should the company use to minimize cost? Explain. - (correct
answer)A. The rectangular prism boxes should be used because they will cost the
company $2.50 less than using the cylindrical containers.
Crop yield is the ratio of the number of bushels harvested to the number of acres used
for the harvest. This year, a large farm harvested rice from 690 acres of farmland. The
crop yield was 7,553 bushels per acre. - (correct answer)5.2 million bushels
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is
deciding between two types of custom tiles. The square tile is foot by foot and costs
$0.45 per tile. The rectangular tile is 2 feet by foot and costs $0.80 per tile. - (correct
answer)B. She should choose the rectangular tiles because the total cost will be $8
less.
A company needs to package 7,560 beads. A wooden container shaped like a
rectangular prism can hold 180 beads. A plastic cylindrical container can hold 126
beads. The wooden container costs the company $0.70, while the plastic container
costs $0.40.
Which container should the company use to minimize cost? Explain. - (correct
answer)B. The plastic containers should be used because it will cost $5.40 more to use
the wooden containers.
Which pair of figures has the same number of faces as vertices? - (correct answer)C.
rectangular pyramid and triangular pyramid
,Which three-dimensional figure has the greatest number of faces? - (correct answer)B.
octagonal pyramid
How many vertices does a triangular prism have? - (correct answer)6
The rectangle shown is rotated about line k.
What is the approximate base area of the resulting figure? - (correct answer)C. 79 sq.
in.
Which three-dimensional figure has nine edges? - (correct answer)C. triangular prism
The equilateral triangle shown is rotated about line a. Each side of the triangle
measures 20 mm.
What shape is created by the rotation and what is the approximate circumference of the
base? - (correct answer)C. a cone with a base circumference of about 63 mm
What is the approximate base area of the resulting three-dimensional figure? - (correct
answer)B. 113 sq. cm
Which shape has a vertex that is also an apex? - (correct answer)D. pyramid
Two different cross sections are taken parallel to the base of a three-dimensional figure.
The two cross sections are the same shape, but are not congruent.
Which could be the three-dimensional figure? Check all that apply - (correct
answer)cone
triangular pyramid
, square pyramid
The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line
that passes through points C and F.
Which best describes the resulting three-dimensional shape? - (correct answer)C. a
cylinder with a base radius of 9 inches
An oblique prism has a base area of 3x2 square units.
What expression represents the volume of the prism, in cubic units? - (correct
answer)36x2
A right square prism has a volume of 360 cubic units.
Which could be the dimensions, in units, of the prism? Check all that apply - (correct
answer)3 by 3 by 40
6 by 6 by 10
2.5 by 12 by 12
3.6 by 10 by 10
The volume of the triangular prism is 54 cubic units.
What is the value of x? - (correct answer)3
An oblique rectangular prism with a square base has a volume of 539 cubic units. The
edges of the prism measure 7 by 7 by 14 units.
