3D Geometry Questions and Answers

There once was a 5 5 ft tall wizard named Proportimus who was standing between an 8 ft giant named Gec and a magical crystal on the ground of a dungeon The crystal and the tops of both of their heads were collinear Geo and Proportimus were standing 10 ft apart Geo can leap a distance of up to 40 ft in a single bound Proportimus can magically summon the crystal from a maximum distance of 20 ft If one giant leap takes the same amount of time as one wizard summon then who can get the crystal first Draw a diagram to model the situation Hint your diagram will look something like part D on the first page

Refer to right triangle ABC with C 90 as shown in the figure not drawn to scale A b B C If a 12 ft and b 18 ft find A Round to the nearest degree

Which of the following terms correctly describe the object below Check all that apply A Pyramid B Polygon C Prism D Polyhedron E Solid F Cube

A pyramid has cross sectional shapes taken parallel to its base that are to one another O A equivalent OB congruent O C similar O D equal

How many faces does a pyramid with a square base have OA Five OB Eight O C Seven OD Six 0

of the following terms correctly describe the object below Check all that apply A Square B Polygon C Prism D Polyhedron E Pyramid F Triangle

Many simple three dimensional figures ale A weight B altitude C width D height E length

One can use two dimensional objects to build three dimensional objects A True B False

What is the volume of the cylinder below A 968 units OB 352 units OC 1815 units OD 204 units 11 15

What is the volume of the regular pyramid below 5 C 5 OD 96 units3 OA 75 units OB 225 units O C 135 units

Find the volume of the pyramid below 13 10 12 10 A 1300 units3 OB 433 units OC 1200 units OD 400 units3

What is the volume of the cone below 22 6 OA 792 units OB 132 units C 264 units3 OD 396 units

What is the volume of the regular pyramid below 81 O A 270 units OB 2700 units O C 810 units 10 10 OD 8100 units

Find the volume of the cone shown below 12 00 50 15 A 972 units B 324 units3 C 972 units3 D 324 units3

What is the volume of the cone below 84 11 OA 924 units OB 10 164 units OC 5082 units OD 3388 units

Given a right pyramid with base area B and height h what does Bh represent OA Cross sectional volume OB Cross sectional area OC Surface area D Volume

Given a right cone with base area B and height h what is the formula for the volume A V Bh B B V Bh OC V Bh D V Bh

The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units O A True B False

Which of the following is the surface area of the right cylinder below 1 6 15 OA 225 units OB 540 units C 252 units

What is the surface area of the right cone below 13 14 OA 104 units O B 54 units OC 68 units PREVIOUS

The cone and the cylinder below have equal surface area 3r O A True B False HY

O is the center of the regular decagon below Find its area Round to the nearest tenth if necessary 14

The two cones below are similar What is the height of the smaller cone O A 200 OB 5 28 5 O C 5 0 1 X 4 iffe

The ratio of surface areas of two similar solids is equal to the square of the ratio between their corresponding edge lengths OA True B False

The two solids below are similar and the ratio between the lengths of their edges is 4 5 What is the ratio of their surface areas OA 16 25 B 16 20 OC 64 125 01 5 4

B 50 85 ekilde m BAC 85 m DBC 50 m ACB 15 oldu una g re a a dakilerden hangisi yanl t r A IBDI IDCI IABI C IADI IDCI IBCI 15 B IABI IBDI IBCI D IADI IBDI IDCI E JADI IABI IBCI

What is the surface area of the cube below OA 150 units OB 50 units OC 75 units 5 01 5 10 5

A regular pyramid has a base and a vertex over the center of the base OA regular polygon OB square O C equilateral triangle D polygon

Which of the following has eight faces O A Dodecahedron O B Icosahedron O C Octahedron O D Tetrahedron

Which polyhedron has more faces than a hexahedron but fewer faces than a dodecahedron OA Icosahedron OB Octahedron C Tetrahedron OD Cube

The polygons that can be the faces of a Platonic solid are Check all that apply A circles B regular pentagons C rectangles OD equilateral triangles E squares F trapezoids

A hexahedron is a prism whose base is a O A circle O B triangle O C equilateral triangle O D square

All prisms are Platonic solids O A True OB False

You want to invest 600 in stock QRS How many you own at the end of the year if you use the DCA strategy instead of investing all of your money at the start of the year QRS Q1 Q2 Q3 Q4 Stock Price 32 00 29 50 25 00 27 50 A 2 shares Febares

You find a mutual fund that offers approximately 8 5 APR compounded monthly How much money will you need to invest as a lump sum in order to have 500 at the end of the year OA 459 27 OB 411 98 OC 491 87 OD 437 84

What is 0 02 written as a decimal OA 0 002 OB 0 02 OC 0 0002 D 0 2

Latoya is making monthly payments of 58 00 to pay off a loan that she took out to buy a viola but she wants to pay off her loan faster Which of these monthly payments will allow her to do so OA 62 00 OB 38 00 O C 54 00 OD 46 00

Find the volume of the shaded area When appropriate use the x key on your calculator v L O C wor www 3 ft 7 ft 3 ft

Nelson took out a 30 year loan for 210 000 at 6 5 interest compounded monthly If his monthly payment on the loan is 1327 34 and if 1137 50 0 his first payment went toward interest how much of his second payment went toward interest OA Less than 1137 50 OB 1137 50 OC 1327 34 D More than 1137 50 but less than 1327 34

Which of the following factors does not influence the cons deciding to buy a product OA Weather OB Internal factors OC Marketing D External factors

How many of the 25 customers named butterscotch O A 3 OB 5 OC 4 A KURTARUNTE INCHichk GEREELANTANE NEMESINS RESERVE COUTER HATTEINGA ESTIMON OSHIRE

12 Show that the vectors 1 2 6 3 2 1 and 7 10 9 lie on the same

2 Use your own judgment for any unspecified dimension Use first angle method only 3 4 5 Retain all construction lines Figures to the right indicate full marks b Figure 1 shows pictorial view of an object Draw 1 Front view ii Top view ii Dimension the views a A circle of 60mm diameter rolls on a straight line without slipping Draw 6 the locus of a point P for complete revolution of the circle The point P is 38mm above the straight line and towards the right of vertical centre line of the circle FERING 8 2015 R15 16407 RING RE 14 19 ENGINEERING 60

Question 10 A lamppost is 6 feet high and casts an 8 foot shadow At the same time of day a flagpole near the lamppost casts a 20 foot shadow Using the properties of similar triangles find the height H of the fla H 20 ft A B C D 2 4 ft 15 ft 20 ft 6 ft 26 67 ft 8 ft

Find the geometric mean of the numbers If necessary give the answer in simplest 1 6 and 24 2 5 and 12

R HW 143 12 3 Homework 1 If AFGH ATSR find the value of GH H 3x 20 104 S 3 If AWVT ARST find the value of VT W T 104 G 8 66 Complete problems 1 6 below for independent practice 39 32 When you are finished check the solutions with your teacher 5 AEFG AEKL are similar Solve for x 30 14 ent Practice R 2 If AFGH ATUH find the value of HT 84 H dan 45 4 AKLM AKCD are similar Solve for x 63 108 8 M 4 K K 28 6 AKLM AKQP are similar Solve for x 2x 8 16 D 3x 1 zod Optional Complete problems 2 4 6 7 11 17 18 from your textbook on separate lined paper for extra practice When you are finished check the odd problems for solutions

Travis is considering taking out a 20 year loan with monthly payments of 380 at an APR of 1 4 compounded monthly and this equates to a loan of 79 504 54 Assuming that the APR and the length of the loan remain fixed which of these is a correct statement OA If Travis s monthly payment were 350 the amount of the loan that he is considering taking out would be less than 79 504 54 OB If Travis s monthly payment were 310 the amount of the loan that he is considering taking out would be more than 79 504 54 O C If Travis s monthly payment were 330 the amount of the loan that he is considering taking out would be more than 79 504 54 D If Travis s monthly payment were 420 the amount of the loan that

Your Turn 1 Your friend incorrectly claims that A ABC is similar to A FGH by SAS Similarity Triangle Theorem Explain or show your friend their misunderstanding of SAS Similarity Theorem NA 10 9 H B

5 0 2 Points MY NOTES DETAILS ASK YOUR TEACHER Refer to the Archimedian solids PREVIOUS ANSWERS a How many solids have faces that are hexagons 3 x b Name the solids from part a Select all that apply truncated tetrahedron cuboctahedron great rhombicosidodecahedron great rhombicuboctahedron icosidodecahedron snub dodecahedron small rhombicosidodecahedron small rhombicuboctahedron used f LARMPMT1 10 4

Which of the Check all that apply following are polyhedrons A Cylinder B Pyramid C Prism D Cone