3D Geometry Questions and Answers

Determine the volume of the three dimen figure

nework Question 5 8 4 Determine the volume of the three dimensional figure

Write an equation for the function gra 7 6 5 4 A 1 2 3 4 5

Homework K A ball is inside a glass case in the shape of a cube The diameter of the ball and length of the glass case are both 5 2 cm What is the volume of the air outside the ball that is inside the glass case Use the button on your calculator The volume of the air is Type an integer or a decima mmm Question 9 8 cm earest hundredth a

15 Find the volume of the pyramid l 7 4 in h 7 in S 5 in 20 in O 74 in O58 in S

20 Find the lateral area of the pyramid 74 in 25 in 1 58 in 3 20 in l 7 4 in h 7 in s 5 in

6 Find the volume of the sphere 169 in 8 7887 in O 1 2 929 in 3 7 r 13 in

6 4 in 3 7 in 0 6375 in 3 52 in3 1 in 1 7 in h 0 5 in h 1 5 in

Note that surface area is the total area of the surface of a three dimensional object For example the surface area of a cube is the area of all 6 faces added together Find the surface area of the prism The surface area of the prism is in 1 L 8 in 11 in 9 in

If tthe formula for the volume of a rectangular prism is V Ixhxw where I length h height and w width Find the height of the figure below with the given volume www h 12 in 12 in V 1728 in 3

What is the measure of angle AFE A 62 B F 44 79 degrees 81 degrees 91 degrees 99 degrees 43 C E 70 60 D

cometry Exam 3 Part 2 the figure at right Sketch the vector indicated The vectors u and v are shown in a 3u c 2v u b u v

15 Giyen MN 1 NO MO L LN Prove MNLN ML NO M

2 Consider the quadrilateral Inscribed in a circle Le Which statement is always correct ALL LP 180 B ZL ZM ZN ZP 180 C ZL ZM ZN ZP 360 DLL ZM 180

A line has a slope of Which ordered pairs could be points on a parallel line Select TWO options 8 8 and 2 2 2 1 and 3 2 5 1 and 0 2 3 6 and 6 9

Galer Suppose you need to pump air into a soccer ball that is completely deflated The deflated soccer ball weighs 0 563 kilograms After being inflated the ball weighs 0 574 kilograms The soccer ball has a diameter of 0 26 meters What is the density of air in the ball Assume the ball is perfectly spherical Round your answer to two decimal places Show your work here

Question 6 12 5 points Point A is plotted in the graph below 5 4 3 2 1 3 A 4 3 2 4 2 3 4 2 3 A A 3 2 2 4 7 2 do Y 1 2 Log 3 A 4 What would be the location of the image of A after it is reflected over the y axis

Is parallelogram EFGH a square F G yes no 90 I H E

Use the graph of AABC with mildsegments DE EF and DF Show that DE is parallel to CB and that DE CB 2 de Because the slopes of DE and CB are both DE CB DE and CB

What is the diameter of a hemisphere with a volume of 5078 m to the nearest tenth of a meter

Zoe is 16 years old Her brother Luke is 3 years more than half her age Write a numerical expression for Luke s age Show your work

Given the information marked on each figure below select all classifications that must be true Note that each figure is drawn like a rectangle but you should not rely on the way the figure is drawn in determining your answers If necessary you may learn what the markings on a figure indicate P R Quadrilateral Parallelogram Rectangle S H Quadrilateral Parallelogram Rectangle B D G Quadrilateral Parallelogram Rectangle 3 H

Can you show that this quadrilateral is a parallelogram 31 31

Find the value of a that makes quadrilateral PQRS a parallelogram S P a 22 2a Q R

Is parallelogram QRST a rhombus T Q yes no R S

Find sinJ Express each ratio as a a decimal to the nearest hundredth

Factor and simplify cos x sin x sin x cos x cos 4xsin x sin 4x x

6 Use the information and diagram to comple A solid metal prism has a rectangular base wit of a cylinder with a radius of 1 inch is drilled t 4 in 1 in

zhat 1 Use the information and diagram to answer th A rectangle with length 10 and width 6 is shown to form an object with a volume of 150 10 About which line could the rectangle be rotat A the vertical line of symmetry B the horizontal line of symmetry

Fayetteville the library is 3 miles miles due north of the library Wha e zoo

Given S 1 8 and T 7 9 S 8 3 2 9 8 7 6 5 4 3 2 19 12 4 5 6 7 8 9 24 3 4 5 6 8 What is the length of ST Round your answer to the nearest te Type your answer

Find the measure of angle 1 W 110 40 O 75 degrees O 58 degrees U O 80 degrees O 22 degrees O None of the other answers are correct

10 As part of a science project Caroline needs to make a model of planet Earth with a 7 inch diameter using playdough If one container of playdough contains 9 cubic inches how many containers will she need 11 A cylinder with a 3 5 inch diameter is drilled into the wooden cube below If the wood weighs 6 grams per cubic inch find the weight of the cube 9 In 9 in 9 in 12 Find the total volume 26 ff T 14 ft

Determine the indices for TWO direction vectors 8 Points SHOW YOUR WORK NO POINTS WITHOUT C 2 72

E Unit Conversions G 12 4 2 Volume Question 18 of 24 1 point Question Attemp displacment Search 13 14 15 Find the volume of a cone with a base radius of 4 c Use the value 3 14 for and do not do any roundin

Circle the letter s of each situation that describes the given circle D A x y 4x 10y 13 0 B x 2 y 5 4 C x 2 y 5 16 D Radius 4 Center 2 5 E x y 4x 10y 13 0 F x 4 y 25 16 G x 2 y 5 4 Explain how you know the letters you circled above describe the circle provided

Quadrilateral ABCD has vertices at A 9 6 B 2 1 C 2 5 and D 3 10 Is ABCD a parallelogram Justify your answer Yes AB and CD are parallel and congruent Yes AB and CD are parallel and BC and AD are congruent No BC and AD are not congruent No BC and AD are not parallel

Quadrilateral WXYZ has vertices at W 1 2 X 8 1 Y 4 7 and Z 2 7 Is WXYZ a rhombus Justify your answer Yes diagonals WY and XZ are perpendicular and congruent Yes diagonals WY and XZ are perpendicular and bisect each other No diagonals WY and XZ do not bisect each other No diagonals WY and XZ are not perpendicular

Given mAB x Prove m 1 X A B 180 x Given m 1 62 m 2 26 Find mCE and mBD A 2 B D 1 C

11 Suppose the universal set contains the natural numbers that are no more than 20 Sets A and B are formed from the universal set such that Set 4 is the perfect squares from the universal set and Set B is the odd numbers from the universal set Represent the elements of these sets by labeling the Venn diagram to the right U Directions Use the Venn diagram in 11 above to define each sef 12 A 13 B 14 ANB 15 AUB A B

Which equation has an x intercept of 3 and a y intercept of 4 y 3x 4 6x 8 24 y 4x 3 8x 6y 24

Noah is deciding which of 2 juice containers he should buy One container is in the shape of a cylinder with radius 3 5 centimet The second container is in the shape of a rectangular prism The p centimeters Which juice container has the larger volume Volume of a Cylinder and Rectangular Prism V Area of a circle A Tr Bh where B is

13 What is the volume of the ice cream cone rounded to the tenth 4 16 3 160 8 cm Volume 4 cm 4 in 167 54 cm 14 The figure below is the shape of a rectangular prism with a square based pyramid Find the total volume 6 in 5 in 4 in 10 cm Volume 62 83 in 53 33 167 54 cm 3 2 6 112 3 441 3 Y S 4 s 2011 2017 62 83

5 Find the surface area of the sphere exactly and approximately Q Exact 11 mi 4 allu 25 r 1 18 1 331 125 5 1 774 6m 3 12 6 6 The surface area of a sphere is 100 mi What is its volume in terms of loont mi Approximate 55 15 07 1 714 671 mi3 S r 5575 07 100M UK 2 1 3 S V 125 V 166 6671 mi 7 The circumference of a sphere is 12 in What is the volume of the sphere to the tenths r e 211 5 12 2018 4 1 913 r 1 9 for 6 a 3

image after the given transformation Graph the preimage and the image A 2 3 B 1 4 and C 2 2 a translation 3 units right and 2 units down B OA B 4 D O A C A 5 4 B 2 6 C 5 1 A 5 1 B 2 2 C 5 4 A 5 1 B 2 6 C 5 4 A 5 1 B 5 4 C 2 6 H B H 2 6 4 6 6 2 0 B 341 Ty 0 6 0 27 69 6 4 2 0 2 BKI 6 y y B C C C C 6 x C 3

The formula for an ellipse can be distinguished from that of a circle by its Select one a equal coefficients b unequal coefficients c negative coefficients d irrational radius

10 Extra Credit 5 to set up and 5 to solve Find the volume that lies within he sphere of radius 4 and the vertical positive z only cone that is formed by rotating the line with polar angle 7 4 once around the north pole

Write the equation of the circle centered at 3 5 and tangent to x 1 O x 3 y 5 4 O x 3 2 y 5 16 O x 3 y 5 4 O x 3 y 5 2 Previous Page Next Page P

What is the standard equation form of the circle a 6x y 4y 23 x 3 y 2 36 O x 3 y 2 36 O x 3 y 2 6 O x 3 y 2 6

More on Trigonometry Question 5 Given triangle ABC What is the length of AC Round to the nearest tenth Select one 15 5cm 16 7cm 12 3cm 13 9cm