3D Geometry Questions and Answers

Extra Credit Solve completely the triangle with ang a 50 b 100 and a 44

Top Front Right Draw an isometric based on the Front Right and Top Views Front Right

The Vertices of a triangle are at 0 0 8 8 and 5 11 What is the volume in cubic units of the figure formed by rotating the triangle about y x

A manufacturing firm finds that 20 of the poor workers pass i heir hiring requirements what

For the company Above Average Sales create a set of data for 8 employees that fits the measure of center described in the advertisement You did this in the previous lesson when you made a list of credit card debts for the six college students

Forces G and are acting on an object so that G 16 06 92 27 and 0 167 where G is the direction angle of G and 0 is the direction angle of H If is the resultant force on the object determine the component form of J and its magnitude and direction You may choose to use the grid to help you Show your process and give coordinates correct to three decimal places 6 Component form of J Magnitude of J Direction angle of J 28 26 24 22 20 18 16 14 12 10 e 6 4 2 201 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 2 to IN 6 8 19 10 12 14 02 16 18 20 22 24 26 28 30 4 6 8 10 12 14 16 18 20 22 24

O Use the information to answer the question Dexter bought a box of salt which he pours Into an empty tin The salt box and the Un are in the shape of a the length width and height of each rectangular prism SALT 3 2 1 in 32 in 5 in teaspoons Tin 4 in 4 in 31 in Dexter fills the tin to the top and has some salt left over If 1 cubic inch is approximately 3 3 teaspoons how many teaspoons of salt are left over Round the answer to the nearest tenth Enter the answer in the box

What would be the BEST formula to model the volume of the tent shown A B volume of a triangular pyramid volume of a rectangular prism

mes that are possible and 2 A bag contains 5 green marbles and 8 blue marbles A dice is rolled then a marble is chosen at random from the bag 6x2 12 4 Jaden is studying abroad for a semester He can choose the first semester or second semester then choose France Spain Germany Italy or Japan 2x5 10 6 A coin is tossed four times and a card is selected from a standard deck of cards 2 x 53 16x53 898 m Find each probability as a fraction in simplest form b P odd or at most 16

Question 7 Multiple Choice Worth 1 points 03 03 MC Which of the following statements is true if m2 E mzY and E F X G Y

Develop a fractal by beginning with the following figure and replacing each side with a L Repeat this process twice

1 List the three types of curvature of space a Choose the correct answer below O A spherical Euclidean geometry conical elliptical geometry saddle shaped hyperbolic geome OB flat Euclidean geometry saddle shaped elliptical geometr spherical hyperbolic geometry OC saddle shaped Euclidean geom flat elliptical geometry

Jaxon dilates SW about point P using a scale factor of 8 The image of S W is createc Which statements about P SW and S W must be true select the two correct statements

2 What is the volume of the biggest sphere that can be carved out of a cube with edges of 10 cm

70 S T If mQR 70 and mSP 34 what is m T

Question 5 PQ is tangent to Circle O at Point P with am What is the measure of ZQ A 50 Beo C 100 D 110 160

Given a cube whose edge is 20cm What is the distance from E to midpoint of line OD in cm

Two similar pyramids have a scale factor of 2 5 The Volume of larger is 120 cm Find the volume of the smaller

15 Ladder A ladder is placed against a house If the base of the ladder is 5 feet from the house and the ladder rests on the house 12 feet above the ground determine the length of the ladder see figure 12 ft ladder

7 Using a straight edge drawA BCD of your own design Complete this table Angle BCD Angle CDB Angle DBC The sum of all 3 angles equals degrees degrees degrees degrees

1 8 km 2 8 in 4 km 4 in Given Formula Solution Answer Given Formula Solution

Fiona needs to choose a five character password with a combination of three letters and the even numbers 0 2 4 6 or 8 If she uses her initials F J and S in order as the first three characters and she does not use the same digit more than once in her password how many different possible passwords are there 10 20 OOOO 24 40

What is the volume of a 12 unit high pyramid with a rectangular base measuring 8 units by units Given Formula

You pick a card at random 3 4 5 What is P 5 Write your answer as a fraction or whole numb

x What is the volume of a rectangu x 2 A A 20x y B 20x y C 9x y

Given the line X Y Z 12t 1 4 4t 3 8t a Complete the line equation so that 12 is parallel to 1 6 6 12 6 8 4 2 0 5 16 t 4 b Calculate the distance between 1 and 12 Distance 741

Find the area of the specified region 7 Inside the circle r 3 sin 0 and outside the cardioid r 1 cos 0

1 Give a parameterization of the line tangent to the parametric curve r t t sin 2t cos 3t at the point

In AABC m A 3x 1 x 14 and m B m C 4x 5 What is the value of x

In APQR m P x 13 m Q 10x 13 and m R 2x 2 Find m Q

Page 1 1 4 13 7 10 13 13 2 5 13 8 13 11 3 14 6 10 11 12 9 15 Question 11 1 point N M 14m L 43 64 10m K What is the length of segment

4 17 to polar form Select one O a r 4sin cose O b r 8sine 2cos OC F 4cose sine O d r 8cos 2sine How many petals does the graph of the polar equation acoste have ife and Select one Oa Cannot be determined with the given information Ob b

Graph several level curves of the following function using the given window Label at least two level curves with their z values z 29 x y 6 6 6 6 Choose the correct graph below O A O E B O C X O D H X

x What is the volume of this right triangular prism x A 288 4 cm

Determine the volume of th Shaded area use the key on your calculator and round Your answer to the nearest hundredth 24 6 cm 3P 14m

A motorboat sets out in the direction N 74 36 E The speed of the boat in still water is 32 3 mph If the current is flowing directly south and the actual direction of the motorboat is due east find the speed of the current and the actual speed of the motorboat

Ex 14 1 4 Let f x y sin x y Determine the equations and shapes of the cross sections when x 0 y 0 x y and describe the level curves Use a three dimensional graphing cool to graph the surface answer z sin y z sin x z 0 lines of slope 1

A plane flies 1 5 hours at 120 mph on a bearing of 20 It then turns and flies 4 1 hours at the same speed on a bearing of 110 How far is the plane from its starting point The plane is miles from its starting point Round to the 20 110

An architect is designing a a building in the shape of a triangular prism If the ratio of height to her scale model to the actual height of the building is 1 98 what is the ratio to the volume of the scale model to the volume of the building type your answer type your answer

The volume of two spheres in in the ration 1 27 What is the ratio of there radii 1 9 1 6 1 3 1 4

Darius bought an automatic water feeder for his cat shown below What is the maximum amount of water in cubic inches the bottle can h 12 5 in 6 in 311 52in 278 03in 289 75in 8 5 in

A cell phone box in the shape of a rectangular prism is shown The height of the box is 4 cm 4 cm Original Box 13 5 cm 18 cm The height of the original box will be increased by 3 5 centimeters so a new instruction manual and an extra battery case can be included Wh closest to the total surface area of the new box 479cm 707cm 738cm 959cm

The formula for calculating the eccentricity e of an elipse is as follows e Where C distance of line from focus to center and a a comimaior avic

Find the missing length indicated 64 O 15 20 36 60 T 48 O None of the other answers are correct

Identify the following shape Answer

8 1 point Parallelogram MNOP is shown P M 9x 77 3x 7 0 What is the value of x Type your answer N

9 ZRQS 40 Find the area shaded below Express your answer as a fraction times 7 S R Q

Total and Lateral SA of Prisms and Cylinders 1 A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping Find the surface area of a bar of soap if the diameter is 5cm and the height is 2cm Picture Work Sen Picture 2cm 2 Marcela wants to wrap a present in a box for Melany The top and the bottom of the box is 8in by 3in the sides are both 3in by 2in and the front and back are 8in by 2in How much wrapping paper will Marcela need to wrap the present 8 A 3 in 12 Work Period 3 The lateral area of a cylinder is 94 2cm The height is 6cm What is the radius Picture Work L 2h 94 2 27 6 94 2 12r QA

eveal Math 8th grade Volume of cylinders 8MB Language an What is the volume of this cyl Use 3 14 and round your 4 cm 12 cm

Match the graphs with the functions i f x y x y ii g x y x y A 15