3D Geometry Questions and Answers

circle semi circle Describe the cross section trapezoid oval

I Triangle II Parallelogram III Pentagon IV Hexagon I II and IV Which of the shapes are possible cross sections of a cube I and II I II and III I II III and IV

Cavalieri s Principle states that any two objects with the same cross sectional areas and heights must have the same volume False only the slant height is relevant False the cross sectional areas are not relevant False even if they have the same cross sectional areas and heights they cannot have the same volume True

exagon A right hexagonal prism is shown below A two dimensional cross section that is perpendicular to the base is taken from the prism Which figure describes the two dimensional cross section triangle rectangle pentagon

What 3 D solid is formed when this rectangle is rotated about the vertical line ght circular cylinder Right oval cylinder Right rectangular prism Right square prism

Diameter sphere Rotating this circle around the diameter creates a pyramid cone cylinder

Select the 2D object that can be rotated to form the 3D object shown

2 Use the best method to solve for the value of x X 43 7 M

le semi circle Describe the cross section trapezoid oval

MathBits com Which 3 D solid is created when the rectangle is rotated about the horizontal line MathBits com MathBits com MathBits com

thBits com Which 2 D shape could be revolved about the vertical line to create the 3 D solid Mah com Mathies com Math Buits com

pyramid The right triangle as shows is rotated 360 about the y axis in three dimensions What is the 3 Dimensional solid resulting from the rotation cylinder cone prism

Find the volume of the rectangular prism 4 cm 4 cm 4 cm 3

Find the volume of the solid that is bounded on the front and back by the 1 X planes x 1 and x 3 on the sides by the cylinders y and above a below by the planes z x 4 and z 0 The volume of the bounded solid is 12 79

Given AMLO ARQS 2x 11 M y 10 What are the values for x and y X type your answer y type your answer S N 2y 40 0 3x 9

Formula 12 cm 11 cm Volume 11 cm Formula 18 mi Volume 18 mi

22 AB 6 5 Find YB 23 DA 2x 4 DZ 9x 6 Find DA Find DZ 4 YB 198 YA 5x 42 Find x Y A B

5 ut of Review the video on binomial probability and scroll to the pa There are 16 marbles 5 are red and 11 are blue

According to Cavalieri A B a cone and a cylind a cone and a pyram

A rectangle will be rotate and is parallel to a side A B a sphere a cylinder

Use the information to answer the following qu Tiffany wants to calculate the volume of her globe the picture She measured the circumference of the globe following measures is closest to the volume o

1 The diagram above shows the path a bird flies from the top of a 9 5 foot tall sunflower to a point ground 5 feet from the base of the sunflower Determine the angle formed from the top of the flower to the spot on the ground the bird flies 5 9 5

Find the x intercept of the line represented by the equation 5x 3y 60 Write answer as an ORDERED PAIR Points possible 1

e the graph of the function to find its domain and range Write the domain and range in interval notation 8 7 6 or t 6 5 4 3 2 1 8 7 6 5 4 3 2 1 0 1 2 3 Y A or A 6 7 1 O 2 ton 4 5 6 7 8 I

2 Sketch the graph of f x 1 2 x 1 x 2

quations Question 1 6 6 91 Part 1 of 3 Points A B and C are three vertices of a rectangle A 4 7 B 8 7 C 4 1 a Plot the three points Determine the coordinates Choose the graph with the given points correctly p A B

6 How many metres 1 are in a 10 pound spool of 12 gauge aluminum wire 12 gauge is 0 0808 inches diameter density of aluminum is 2 70 g cm volume of a cylinder is nr 1 2 marks 50 8 0 0808 127 12 7 508 RADIUS 1 02616 cm MASS OF 1 0 M r l d 1 02616 x 2 70 8 9319 m IN 10 16 454 10 8 9319 9

5 12 Reference Angle Find the reference angle for the given angle 5 a 120 b 200 c 285

B 100 70 Note Figure not drawn to scale In the figure above what is the value of a b A 80 C 110 D 120 30

2 Jse the diagram below to answer questions 12 14 Angle C measures 60 The diagram is not to scale A B C 12 If the length of side AB is 9 cm what is the length of side BC 3 units 3 b 3 units a c 4 5 units d 3 3 units e 9 3 units

To purchase a car Harry makes a down payment ar every month thereafter he pays a fixed amount to th car dealer The total amount T in dollars that Harr has paid after m months can be represented by the equation T 175m 350 According to this equation how much in dollars was Harry s down payment Disregard the sign when gridding your answer

1 A metal pipe is used to hold up a 9 foot fence as shown in the diagram below The pipe makes an angle bl 48 with the ground Determine to the nearest whole foot the length of the metal pipe bloow zerw Jodt to sq zid grois 1901 9 ft Fence Metal pipe 409

Translate it to make it the graph of y x 3 5 1x 8 6 4

A silo is in the shape of a cone The silo is 8 meters tall and its base has a radius of 1 5 meters Soybeans cost 414 per cubic meter How much will it cost to fill the silo with soybeans If necessary refer to the list of geometry formulas For your calculations do not round any intermediate steps and use the button on the ALEKS calculator Round your answer to the nearest cent

0 An empty swimming pool needs to be filled to the top The pool is shaped like a cylinder with a diameter of 7 m and a depth of 1 1 m Suppose water is pumped into the pool at a rate of 14 m per hour How many hours will it take to fill the empty pool If necessary refer to the list of geometry formulas For your calculations do not round any intermediate steps and use the button on the ALEKS calculator Round your answer to the nearest hundredth hours 15 X Austin

Using the cone LITS ALEKS calculator approximate the volume of To do the approximation do not round any intermediate steps and use the button on the calculator Round your answer to the nearest hundredth If necessary refer to the list of geometry formulas Make sure that you use the correct units in your answer Approximate volume in in in I 112 in 8 in

Find the missing length indicated 100 O 20 GD O 60 36 O None of the other answers are correct

Introduction Create your own Polar Masterpiece using Polar Art and Desmos Calculator 412 Getting Started 15n 2 QUA Desmos Inequalities and Restrictions You can see the equations and sliders used to create this image on Desmos 1 Take 15 minutes to explore different polar images Experiment and create your own in Desmos by trying different equations or you can search for Polar Art and many different images will appear 10 2 Now create your own Polar Art Masterpiece See the rubric below for key aspects to include in your graph You need to sign in to Desmos so you can upload the link to your graph 3 Finally write type a reflect on the process What did you learn from the use of intervals sliders and various polar equations

Which polar equation below is the graph of TT 3 2TT 3 10 4TT 3 Select one 10 10 20 3TT 2 a r 9 sin30 b r 9 cos30 c r 2 sin90 d r 9 sin 10 5TT 3 TT 6 11 TT 6 0 20 3

2 3 4 1 point What is the INTERIOR angle SUM of a pentagon 520 900 360 540 1 point What is the EXTERIOR angle SUM of a decagon 1440 360 1800 36 1 point What is the measure of ONE INTERIOR angle of a regular nonagon 40 180 360 140 1 point What is measure of ONE EXTERIOR angle of a regular nonagon 40 140 360

C X 5 you IN 321 Show Transcribed Text the indicated corner View in the space provided Sketch the indicated corner view in

Determine the indices for TWO direction vectors C and D 8 Points SHOW YOUR WORK NO POINTS WITHOUT WORK 2 3 2 5 2 3 13 B A 1 10 1 11 20 C ty

the coordinate plane Which three dimensional solid is created when the triangle is rotated about the y axis R W A 0 Cone with a radius of 2 units and a height of 4 units B Cone with a radius of 4 units and a height of 4 units C Right Triangle with a base of 4 units and height of 4 units Triangular Pyramid with a height of 4 units and a base length of 4 ura 3 A rectangle is shown on the coordinate grid with vertices 4 0 0 0 0 2 and 4 2 A solid is formed by rotating the rectangle above the x axis Select ALL true statements about the revolved solid The revolved solid is a cylinder with a base radius of 2 units The revolved solid is a cylinder with a base radius of 4 units The revolved solid is a cylinder with a height of 2 units The revolved solid is a cylinder with a height of 4 units The revolved solid is a rectangular prism with a base length of 2 The revolved solid is a rectangular prism with a base length of

Consider a cone with a height of 6 yd and a base diameter of 6 yd Using the ALEKS calculator approximate the volume of the cone To do the approximation do not round any intermediate steps and use the button on the calculator Round your answer to the nearest hundredth If necessary refer to the list of geometry formulas Make sure that you use the correct units in your answer Approximate volume yd yd yd yd 6 yd

A cylinder with a base diameter of 12 m and a height of 8 m is shown Answer the parts below Make sure you use the correct units in your answers If necessary refer to the list of geometry formulas a Find the exact surface area of the cylinder Write your answer in terms of Exact surface area 0 b Using the ALEKS calculator approximate the surface area of the cylinder To do the approximation use the button on the calculator and round your answer to the nearest hundredth Approximate surface area 0 010 m X B JT m m 12 m 8 m

GEOMETRY Area of a circle The radius of a circle is 5 yd Answer the parts below Make sure tha If necessary refer to the list of geomet a Find the exact area of the circle Exact pron

e of a cylinder The diameter of a cylindrical water tank is 13 ft an is 12 ft Answer the parts below Make sure that you use the units in your answers If necessary refer to the list of geometry formulas a Find the exact volume of the tank Write you Exact volume

Which of the following graphs represents the quadratic inequality y 2 x 4x 6 6 5 4 3 6 5 4 3 2 1 2 1 0 1 2 3 4 5 1 2 3 4 5 6

Find the volume of the solid 8 in 3 in 6 in 2 in 2 in 0 3 in

Find the volume of the solid 5 ft 5 ft 2 ft 8 ft 5 ft 4 ft 3 ft