Question 1

A balloon 30.2 m in radius is to be filled with helium. How many m 3 of helium are needed to fill it?

Accepted Answer

A)  64,700 m 3 
B)  126,000 m 3 
C)  107,000 m 3 
D)  119,000 m 3 
E)  115,000 m 3 
A)  64,700 m 3 
B)  126,000 m 3 
C)  107,000 m 3 
D)  119,000 m 3 
E)  115,000 m 3

Question 2

Choose the value below that correctly fills in the blank. Round the result to the nearest tenth. 2.7 rad = __________ o

Accepted Answer

A)  152.7 
B)  309.4 
C)  77.3 
D)  154.7 
E)  0.5 
A)  152.7 
B)  309.4 
C)  77.3 
D)  154.7 
E)  0.5

Question 3

You are designing a dome house in the shape of a hemisphere with a 38 ft outside diameter. Find the volume, which is needed to calculate the heat pump size.

Accepted Answer

A)  21,500 ft 3 
B)  14,600 ft 3 
C)  14,300 ft 3 
D)  14,400 ft 3 
E)  14,100 ft 3 
A)  21,500 ft 3 
B)  14,600 ft 3 
C)  14,300 ft 3 
D)  14,400 ft 3 
E)  14,100 ft 3

Question 4

In the illustration below find the length of arc s, the area of the sector Asec, and the area of the segment Aseg.   s = __________ m
Asec __________ m2
Aseg __________ m2

Accepted Answer

Question 5

The area of a circle is 215 ft 2. Find its radius. Use the rules for working with measurements.

Accepted Answer

A)  The radius is 11.7 ft. 
B)  The radius is 16.5 ft. 
C)  The radius is 4.14 ft. 
D)  The radius is 8.27 ft. 
E)  The radius is 23.4 ft. 
A)  The radius is 11.7 ft. 
B)  The radius is 16.5 ft. 
C)  The radius is 4.14 ft. 
D)  The radius is 8.27 ft. 
E)  The radius is 23.4 ft.

Question 6

Name the polygon.

Accepted Answer

A)  hexagon 
B)  heptagon 
C)  nanogon 
D)  octagon 
E)  pentagon 
A)  hexagon 
B)  heptagon 
C)  nanogon 
D)  octagon 
E)  pentagon

Question 7

Match between columns
                        Premises: 11ec0955_fb14_14a6_a41c_071ab86ee7c3_TBX8813_00
11ec0955_fb14_14a7_a41c_151eeb6864ca_TBX8813_00

Accepted Answer

The Answer of hexagon and quadrilateral is...

Question 8

A rectangular steel plate that measures 4.43 in. by 8.81 in. by 3 in. thick, with a 4 diameter hole in the center, is being drawn. (a) Find the volume of steel left after the hole is cut. (b) If this steel weighs 30 oz/in 3, what weight should be given on the drawing? Follow the rules for working with measurements.

Accepted Answer

A)  The volume is 26.5 in 3, the weight is 2,380 oz. 
B)  The volume is 79.4 in 3, the weight is 7,940 oz. 
C)  The volume is 105 in 3, the weight is 2,380 oz. 
D)  The volume is 79.4 in 3, the weight is 2,380 oz. 
E)  The volume is 26.5 in 3, the weight is 7,940 oz. 
A)  The volume is 26.5 in 3, the weight is 2,380 oz. 
B)  The volume is 79.4 in 3, the weight is 7,940 oz. 
C)  The volume is 105 in 3, the weight is 2,380 oz. 
D)  The volume is 79.4 in 3, the weight is 2,380 oz. 
E)  The volume is 26.5 in 3, the weight is 7,940 oz.

Question 9

Following the rules for working with measurements, find the area of roof to be covered with shingles.

Accepted Answer

A)  881 m 2 
B)  1,370 m 2 
C)  1,350 m 2 
D)  950 m 2 
E)  4,050 m 2 
A)  881 m 2 
B)  1,370 m 2 
C)  1,350 m 2 
D)  950 m 2 
E)  4,050 m 2

Question 10

Follow the rules for working with measurements. An oil filter for a small car is cylindrical with radius 1.1 in. and height 4.4 in. What is the volume of the oil filter?

Accepted Answer

A)  33.4 in 3 
B)  66.8 in 3 
C)  8.35 in 3 
D)  83.5 in 3 
E)  16.7 in 3 
A)  33.4 in 3 
B)  66.8 in 3 
C)  8.35 in 3 
D)  83.5 in 3 
E)  16.7 in 3

Question 11

Name the polygon.

Accepted Answer

A)  triangle 
B)  nanogon 
C)  pentagon 
D)  hexagon 
E)  quadrilateral 
A)  triangle 
B)  nanogon 
C)  pentagon 
D)  hexagon 
E)  quadrilateral

Question 12

The airspeed indicator of an airplane is circular, with a diameter of 2.75 in. Use the rules for working with measurements. What is the circumference and area of the indicator?

Accepted Answer

A)  The length is 8.64 in., the area is 11.9 in 2. 
B)  The length is 8.64 in., the area is 23.8 in 2. 
C)  The length is 17.3 in., the area is 11.9 in 2. 
D)  The length is 8.64 in., the area is 5.94 in 2. 
E)  The length is 17.3 in., the area is 5.94 in 2. 
A)  The length is 8.64 in., the area is 11.9 in 2. 
B)  The length is 8.64 in., the area is 23.8 in 2. 
C)  The length is 17.3 in., the area is 11.9 in 2. 
D)  The length is 8.64 in., the area is 5.94 in 2. 
E)  The length is 17.3 in., the area is 5.94 in 2.

Question 13

Suppose ∠2 and ∠4 are supplementary. Find the measure of ∠1.

Accepted Answer

A)  95° 
B)  100° 
C)  90° 
D)  180° 
E)  75° 
A)  95° 
B)  100° 
C)  90° 
D)  180° 
E)  75°

Question 14

Find the perimeter and the area of the quadrilateral.

Accepted Answer

A)  A = 48 m 2 
B)  A = 46 m 2 
C)  A = 64 m 2 
D)  P = 32 m 
E)  P = 28 m
F) P = 16 m 
A)  A = 48 m 2 
B)  A = 46 m 2 
C)  A = 64 m 2 
D)  P = 32 m 
E)  P = 28 m
F) P = 16 m

Question 15

A right triangular support gusset is to be made similar to another right triangular gusset. The smaller gusset has sides with lengths 5 in. and 7.5 in. Find the length of the corresponding side of the larger triangle if its larger side has length 17.4 in.

Accepted Answer

A)  13.8 in. 
B)  11.6 in. 
C)  11.8 in. 
D)  13.1 in. 
E)  10.9 in. 
A)  13.8 in. 
B)  11.6 in. 
C)  11.8 in. 
D)  13.1 in. 
E)  10.9 in.

Question 16

A rectangular metal duct has a width 8 in. If the area of a cross section is 104 in. 2 , what is the height and the perimeter of a cross section?

Accepted Answer

A)  $h = 13 \text { in. }$ 
B)  $h = 9 \mathrm { in } .$ 
C)  $P = 43 \text { in. }$ 
D)  $P = 42 \text { in. }$ 
E)  $h = 6.5 \text { in. }$
F) $P = 21 \mathrm { in } .$ 
A)  $h = 13 \text { in. }$ 
B)  $h = 9 \mathrm { in } .$ 
C)  $P = 43 \text { in. }$ 
D)  $P = 42 \text { in. }$ 
E)  $h = 6.5 \text { in. }$
F) $P = 21 \mathrm { in } .$

Question 17

Follow the rules for working with measurements. The sides of a cylindrical silo 19 ft in diameter and 33 ft high are to be painted. Each gallon of paint will cover $3\bar00$ ft 2. How many gallons of paint will be needed?

Accepted Answer

A)  3.3 gal. 
B)  160 gal. 
C)  6.6 gal. 
D)  26 gal. 
E)  13 gal. 
A)  3.3 gal. 
B)  160 gal. 
C)  6.6 gal. 
D)  26 gal. 
E)  13 gal.

Question 18

Follow the rules for working with measurements. The baggage compartment of a helicopter is a rectangular prism. The dimensions of the baggage compartment are 4 ft $ ×$ 3 ft $ ×$ 4 ft. What is the volume of the compartment?

Accepted Answer

A)  52 ft 3 
B)  24 in. 3 
C)  70 ft 3 
D)  45 ft 3 
E)  48 in. 3 
A)  52 ft 3 
B)  24 in. 3 
C)  70 ft 3 
D)  45 ft 3 
E)  48 in. 3

Question 19

A Victorian building has one room in the shape of a rhombus. If the vertical ceiling height is 10 ft, find the floor area to be used in calculating a volume of air in the room.

Accepted Answer

A)  87,000 in. 2 
B)  8,700 in. 2 
C)  9,300 in. 2 
D)  4,400 in. 2 
E)  17,000 in. 2 
A)  87,000 in. 2 
B)  8,700 in. 2 
C)  9,300 in. 2 
D)  4,400 in. 2 
E)  17,000 in. 2

Question 20

How many square feet of sheet metal are needed to form the trough shown in the illustration? Round your answer to two significant digits.

Accepted Answer

A)  350 ft 2 
B)  37 ft 2 
C)  380 ft 2 
D)  34 ft 2 
E)  690 ft 2 
A)  350 ft 2 
B)  37 ft 2 
C)  380 ft 2 
D)  34 ft 2 
E)  690 ft 2

A balloon 30.2 m in radius is to be filled with helium. How many m ³ of helium are needed to fill it?

Choose the value below that correctly fills in the blank. Round the result to the nearest tenth. 2.7 rad = __________ ^o

You are designing a dome house in the shape of a hemisphere with a 38 ft outside diameter. Find the volume, which is needed to calculate the heat pump size.

In the illustration below find the length of arc s, the area of the sector A_sec, and the area of the segment A_seg. s = __________ m A_sec __________ m² A_seg __________ m²

The area of a circle is 215 ft ². Find its radius. Use the rules for working with measurements.

Name the polygon.

Following the rules for working with measurements, find the area of roof to be covered with shingles.

Follow the rules for working with measurements. An oil filter for a small car is cylindrical with radius 1.1 in. and height 4.4 in. What is the volume of the oil filter?

Name the polygon.

The airspeed indicator of an airplane is circular, with a diameter of 2.75 in. Use the rules for working with measurements. What is the circumference and area of the indicator?

Suppose ∠2 and ∠4 are supplementary. Find the measure of ∠1.

Find the perimeter and the area of the quadrilateral.

A right triangular support gusset is to be made similar to another right triangular gusset. The smaller gusset has sides with lengths 5 in. and 7.5 in. Find the length of the corresponding side of the larger triangle if its larger side has length 17.4 in.

A rectangular metal duct has a width 8 in. If the area of a cross section is 104 in. ² , what is the height and the perimeter of a cross section?

Follow the rules for working with measurements. The sides of a cylindrical silo 19 ft in diameter and 33 ft high are to be painted. Each gallon of paint will cover $3\bar00$ ft ². How many gallons of paint will be needed?

Follow the rules for working with measurements. The baggage compartment of a helicopter is a rectangular prism. The dimensions of the baggage compartment are 4 ft $×$ 3 ft $×$ 4 ft. What is the volume of the compartment?

A Victorian building has one room in the shape of a rhombus. If the vertical ceiling height is 10 ft, find the floor area to be used in calculating a volume of air in the room.

How many square feet of sheet metal are needed to form the trough shown in the illustration? Round your answer to two significant digits.

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 12: Geometry

A balloon 30.2 m in radius is to be filled with helium. How many m 3 of helium are needed to fill it?

Choose the value below that correctly fills in the blank. Round the result to the nearest tenth. 2.7 rad = __________ o

You are designing a dome house in the shape of a hemisphere with a 38 ft outside diameter. Find the volume, which is needed to calculate the heat pump size.

In the illustration below find the length of arc s, the area of the sector Asec, and the area of the segment Aseg. s = __________ m Asec __________ m2 Aseg __________ m2

The area of a circle is 215 ft 2. Find its radius. Use the rules for working with measurements.

Name the polygon.

Following the rules for working with measurements, find the area of roof to be covered with shingles.

Follow the rules for working with measurements. An oil filter for a small car is cylindrical with radius 1.1 in. and height 4.4 in. What is the volume of the oil filter?

Name the polygon.

The airspeed indicator of an airplane is circular, with a diameter of 2.75 in. Use the rules for working with measurements. What is the circumference and area of the indicator?

Suppose ∠2 and ∠4 are supplementary. Find the measure of ∠1.

Find the perimeter and the area of the quadrilateral.

A right triangular support gusset is to be made similar to another right triangular gusset. The smaller gusset has sides with lengths 5 in. and 7.5 in. Find the length of the corresponding side of the larger triangle if its larger side has length 17.4 in.

A rectangular metal duct has a width 8 in. If the area of a cross section is 104 in. 2 , what is the height and the perimeter of a cross section?

Follow the rules for working with measurements. The sides of a cylindrical silo 19 ft in diameter and 33 ft high are to be painted. Each gallon of paint will cover 30ˉ03\bar0030ˉ0 ft 2. How many gallons of paint will be needed?

Follow the rules for working with measurements. The baggage compartment of a helicopter is a rectangular prism. The dimensions of the baggage compartment are 4 ft × ×× 3 ft × ×× 4 ft. What is the volume of the compartment?

A Victorian building has one room in the shape of a rhombus. If the vertical ceiling height is 10 ft, find the floor area to be used in calculating a volume of air in the room.

How many square feet of sheet metal are needed to form the trough shown in the illustration? Round your answer to two significant digits.

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

A balloon 30.2 m in radius is to be filled with helium. How many m ³ of helium are needed to fill it?

Choose the value below that correctly fills in the blank. Round the result to the nearest tenth. 2.7 rad = __________ ^o

In the illustration below find the length of arc s, the area of the sector A_sec, and the area of the segment A_seg. s = __________ m A_sec __________ m² A_seg __________ m²

The area of a circle is 215 ft ². Find its radius. Use the rules for working with measurements.

A rectangular metal duct has a width 8 in. If the area of a cross section is 104 in. ² , what is the height and the perimeter of a cross section?

Follow the rules for working with measurements. The sides of a cylindrical silo 19 ft in diameter and 33 ft high are to be painted. Each gallon of paint will cover $3\bar00$ ft ². How many gallons of paint will be needed?

Follow the rules for working with measurements. The baggage compartment of a helicopter is a rectangular prism. The dimensions of the baggage compartment are 4 ft $×$ 3 ft $×$ 4 ft. What is the volume of the compartment?