3D Geometry Questions and Answers

Which geometric solid would best describe a log from a tree prism O pyramid cylinder sphere

Find the volume of the figure below in terms of pi O 144T 36T 864T 299T 6 cm

A wooden cube has an edge length of 6 centimeters and a Determine the density of the cube to the nearest thousandth State which type of wood the cube is made of using the density table below Type of Wood Pine Hemlock Elm Birch Ash Maple Oak Oak Elm Maple Hemlock Density g cm 0 373 0 431 0 554 0 601 0 638 0 676 0 711

2 3 40 20 00 4 5 6 12 BD is an altitude Grid in the slope of BD oole 2 8 3 4 5 6 000 6 8 9 2 3 3 4 6 8 9 web si A 7 6 5 4 3 2 LO 4 3 1 2 B 2 3 4 1 2 C mot issibs Giust wire is 112 meter long connecting GH and has an angle

The volume V between the paraboloids Z 12 3x 3y can be written in the form V n for some positive integer A What is the constant A Hint Find the intersection of the two paraboloids and carry out an integration using cyclindrical polar coordinates and z 3x 3y

The sum of the interrior angles of a regular dodecagon is 8a What is the value of a Type your answer

If one interior angle of an equiangular n gon is 168 how many sides does the n gon have Tyne your answer

What is the difference between the sum of the interior angles of a nonagon and the sum of the exterior angles of a hexagon T

Find the minimum and maximum of f x y z y 3z subject to two constraints 3x z 3 and x y 1 Use symbolic notation and fractions where needed minimum

Find the volume of this figure round to the nearest tenth 7 ff 15 2f

1 Graph 2 3 4 in three dimensions Be sure to show the path to the point X Z

reproduce O stabilizing directional disruptive es for an extreme type are more likely to survive and 25 point X

Find the volume of the oblique pyramid with a square base 11 8

D A triangular prism is shown below The base is a right triangle 10 in 6 in 5 in What is the volume of the triangular prism cubic inches CON Serkan dari pada

What is the area of this figure 7 mm Submit 5 mm 6 mm square millimeters 5 mm 1 mm 2 mm

3 Exponential functions produce certain graphs Find two examples of numbers that b could represent so that the function y 5 b exponential and explain your reasoning

A total of 10 marbles Three marbles are randomly drawn from the bag tie marbles and 1 red marble for a one at a time a If the marbles are replaced after each random drawing what is the probability that all three marbles drawn in sequence are all GREEN b If the marbles are not replaced after each random drawing what is the probability that all three marbles drawn in sequence are all GREEN c Explain why there might be a difference between the two probabilities determined in part a and part b

What is the length of the segment AB shown in the graph A 6 units 8 units 9 units 10 units A B 2 0 a 6 Pa 27 B B A S

Find the approximate surface area of a cylinder that has a height of 6 cm and a radius of 8 cm Figure may not be drawn to scale 502 7 cm 703 7 cm 1206 4 cm 2412 7 cm 6 cm 8 cm

Find the volume of a rectangular prism that has the dimensions 8 cm x 5cm x 3 cm Figure may not be drawn to scale 79 cm 120 cm 148 cm 158 cm 3 8 cm 5 cm 3 cm

Question 22 2 points A square based pyramid is shown Determine the total surface area of the pyramid given each side of the square is 8 cm and the slant height of the pyramid is 6 cm Figure may not be drawn to scale 96 cm 256 cm 128 cm 160 cm 2 8 cm 8 cm

he cone below has a volume of 87 cubic units Find the slant eight L given the measures shown L 1 8

Find the volume of the cone given the measures shown 106 Show your work here Hint To add the pi symbol r type pi 4 90

An oblique cone has a radius of 7 units and a volume of 539 cubic units What is the height of the cone Show your work here

nd the volume of the oblique pyramid with a square base N 6 co 5 17

3 Consider the functions f x x 12 and g x 2x 24 Part A What is fog x

Which three dimensional figure has the greatest number of faces pentagonal pyramid triangular prism octagonal pyramid rectangular prism

13 5 25 Which expression represents the volume in cubic units of the composite figure O 5 13 5 12 5 12 5 25 5 25 5 13 TU 5 13 TU 5 13 3

A right square prism has a volume of 360 cubic units Which could be the dimensions in units of the prism Select three options If you feel you earned partial credit on this problem please reach out to your teacher 2 5 by 12 by 12 4 by 4 by 20 3 6 by 10 by 10 3 by 3 by 40 5 by 5 by 14

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift 20 cm 8 cm What is the approximate volume of the tube Use 7 key on the calculator desmos calc rather than using 3 14 Round to the nearest whole cubic centimeter 1 340 cm 3 351 cm3 4 021 cm3 1 005 cm3

MINI EXPLORE In right triangle GEF angle E is a right angle Determine the following trigonometric ratios sin G G 12 cos G a sin F cos F tan G tan F b What is the relationship between angle G and angle F 13 E 5 F c Using your hypothesis from the Do Now and above what can you conclude about the sine and cosine of angles in a triangle

5 right triangle ABC mzB 90 If tan C 12 find sin A Que

An oblique triangular pyramid has a base area of 15 square units and a volume of 25 cubic units What is the height of the pyramid Show your work here

Find the volume of the triangular prism given the measures shown 6 2 2

4 The measures of the exterior angles of a pentagon are x 3x 5x 7x and 8x Solve for x Type your answer 1 point How many sides does a regular polygon have if each interior angle measures 170 DO

A decagon meets two pentagons as shown in the image below What is the measure of angle A shown the area between the two pentagons A

Elliot bulit a geometrically similar model of the Washington Monument The height of the actual monument is nearly 555 5 feet Elliot s model pictured below is 505 millimeters in height The width of the base of the actual monument is 55 feet 505 millimeters What should the base of Elliot s model be Round your answer to the nearest tenth of a mm if necessary

5 Prove the following corollary to the Ruler Placement Theorem Corollary 5 4 1 Given any two points P and Q of a line there is a coordinate system for the line such that the coordinate of P 0 and Q 1

5 A photographer points a camera at a window in a nearby building forming an angle of 46 with the camera platform If the camera is 59 meters from the building how high above the platform is the window Round to two decimal places 4 pts

A B D C If m ABD 76 and m DBC 68 then m ABC Enter

Jasmine s algebra teacher gives pop quizzes that are scored between 0 and 50 points inclusive After the first 5 quizzes Jasmine s quiz average arithmetic mean is 35 What is the lowest score Jasmine can receive on the 6th quiz and still be able to have an average of at least 45 for the first 20 quizzes

The sum of three numbers is 738 One of the numbers k is 20 less than the sum of the other two numbers What is the value of k A 328 B 267 C 215 D 144

The graph below shows the balance of Jerry s bank account in thousands of dollars for each month from January through December of 2012 Jerry s Bank Account Balance in 2012 Balance thousands of dollars 60 50 40 30 20 10 8 9 10 11 5 6 7 Months since January 2012 Based on the graph which of the following best describes the general trend of Jerry s bank account balance in 2012 A The balance generally decreased each month in 2012 B The balance generally decreased until July then increased C The balance was generally constant throughout which 2012 D The balance generally increased each month in 2012

What is the complement of event of a teacher randomly calling on a student that is a male Calling on a male student Calling on a female student Calling on any student Calling on a teacher 3 The Gove

Find the volume of the cone Find the volume of the cylinder Find the volume of the sphere 10 3

Find the volume of the cone 6 D Find the volume of the cylinder 10 Find the volume of the sph 3

36 X 80m B 2 60 10m C D y Fin 1 y 11 Z 111 X

Find the product Simplify your answer 2a 1 2a 4a 4

11 mADC 116x 1 Find mADC 25x 3 Ca B A 6lx 5

2 Tarrion is flying a kite which gets caught in the top of a tree Use the diagram to estimate the height of the ree to the nearest whole number Method 90 feet string 44 Work