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WorksheetsGeometry Review #6 3-D Figures
Total questions: 50
Worksheet time: 1hrs 21mins
The arrow shown is on a sign. If it cost $2 per square inch to paint the sigh what is the smallest total cost of 5 signs?
$170
$230
$400
$520
$610
Find the area of the shaded region:
350 cm2
137.5 cm2
212.5 cm2
484.2 cm2
75 cm2
Find the area of the figure:
276 cm2
114 cm2
247 cm2
390 cm2
68 cm2
Find the area of the figure
43 in2
102 in2
37 in2
90 in2
31 in2
The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for π.
284.52 ft2
228 ft2
317 ft2
116.71 ft2
456 ft2
Lucia has a triangular prism that has a length of 6cm and the width of 4cm and the height is 8cm. What is the volume
96cm³
54cm³
80cm³
24cm³
192cm³
What is the area of the base of the pyramid?
B= 1800 mm3
B= 150 mm2
B=900 mm2
B=1200 mm3
B=600 mm3
Find the volume to the nearest hundredth using 3.14 instead of Pi.
418.00 cm3
139.33 cm3
130.62 cm3
1671.98 cm3
532.48 cm3
Find the volume to the nearest hundredth using 3.14 instead of Pi.
12.56 ft3
37.68 ft3
18.84 ft3
6.28 ft3
12.00 ft3
Find the volume.
151.2 yd3
163.7 yd3
179.1 yd3
186.3 yd3
80.0 yd3
Find the volume.
147
588
84
294
882
Which equation would you use to find the volume of this composite figure?
83 + 4/3π(8)³
83 + 4/3π(4)³
83 + (1/2)(4/3)π(4)³
82 + 4/3π(8)³
82+(1/2)82π
Find the volume of the roll of duct tape.
7.2
8.0
9.4
15.7
21.3
Find the approximate Volume.
1412.4
965.2
1123.6
1348.6
611.5
Landon used a semicircle, rectangle, and a right triangle to form the figure shown. Which is the best estimate of the area of the figure?
52 cm2
44 cm2
26 cm2
38 cm2
There is not enough information, the hypotenuse of the right triangle is needed to solve.
Find the volume of the Sphere. Use 3.14 for pi.
337.3 ft3
137.2 ft3
274.4 ft³
205.8 ft³
102.89 ft³
Soda is sold in aluminum cans that measure
4.83 inches in height and 2.6 inches in diameter. What is the volume? Round to the nearest hundredth.
25.64 in3
26.00 in3
19.73 in3
95.28 in3
32.65 in3
What is the name of this 3D solid?
Hexagonal Prism
Hexagonal Pyramid
Pentagonal Pyramid
Pentagonal Prism
Not enough information
What is the volume of the shape?
540 cm3
810 cm3
1080 cm3
4320 cm3
Not enough information to solve the volume
Jerry has a new slanted coke can design for his marketing campaign. He knows the volume and height he wants for his display but he wants to figure out the diameter of the display. What is the diameter of his can display in the picture?
4cm
6cm
8cm
12cm
16 cm
Given the two prisms in the picture in the picture which of the statements is true according to Cavalier's principal.
The Oblique Prism has a longer slant height so the volume is greater than the Right Prism
The Right Prism has a longer slant height so the volume is greater than the Oblique Prism
The Oblique Prism has 2 different bases and when taking the average of these bases and multiplying them by the height the volume is greater than the Right Prism
The Oblique Prism has 2 different bases and when taking the average of these bases and multiplying them by the height the volume is less than the Right Prism
Both types of Prisms have the same base and height so there volume is the same
What is the volume of the shape?
V= 28,938.24 cm3
V= 2,712.96 cm3
V= 7,234.56 cm3
V= 3,617.28 cm3
V= 603.19 cm3
A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?
1,676 mm3
18,850 mm3
33,510.3 mm3
268,083 mm3
Not enough information to solve the volume
Veal finds a gold colored rock in a river. It has a mass of 9.65 grams and a volume of 0.5 cm3. What is the density of the rock?
10.15 g/cm3
19.3 g/cm3
9.15 g/cm3
4.825 g/cm3
9.65 g/cm3
Describe the cross section.
trapezoid
triangle
rectangle
square
Trapezoid
What shape will the horizontal cross-section of a sphere be?
Dome
Circle
Ellipse
Rectangle
Prism
What shape will the horizontal cross-section of a cone be?
Semi Circle
Circle
Parabola
Triangle
Oval (Ellipse)
Describe the cross section.
rectangle
trapezoid
oval (ellipse)
parallelogram
circle
What shape will the angled cross-section of a rectangular pyramid be?
Triangle
Rectangle
Trapezoid
Square
rhombus
Jack has a rock. The rock has a mass of 14g and a volume of 2cm3. What is the density of the rock?
7 mL
7 g/cm3
28 g/cm3
1/7 g/cm3
16g+cm3
If the mass of an unknown substance is 105 grams and the volume is 35 cm.3 What would be its density? (round)
2.7
3.5
4.0
3.0
.3
If the density of a bar of gold is 19.3 g/cm3and you cut it into 4 pieces, what is the density of each piece of gold?
4.825 g/cm3
9.65 g/cm3
19.3 g/cm3
38.6 g/cm3
.21 g/cm3
A right hexagonal prism is shown. 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
Hexagon
Trapezoid
The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a
circle
square
triangle
rectangle
trapezoid
A plane intersects a hexagonal prism. The plane is perpendicular to the base of the prism. Which two dimensional figure is the cross section to the plane intersecting the prism?
triangle
trapezoid
hexagon
rectangle
trapezoid
A two-dimensional cross section is taken of a three-dimensional object. If the cross section is a triangle, what cannot be the three-dimensional object?
cone
cylinder
pyramid
rectangular prism
triangular prism
Which figure can have the same cross section as a sphere?
Not enough information
Which drawing can not be a cross section of a cone?
All of these are cross sections of a cone
A student has a rectangular postcard that he folds in half lengthwise. Next he rotates it continuously about the folded edge. Which three dimensional object below is generated by the rotation?
Which object is formed when right triangle RST shown is rotated around leg RS
a cylindar
a pyramid with a square base
an isosceles triangle
a right triangle
a cone
If the rectangle is continuously rotated about side w, which solid figure is formed?
sphere
pyramid
rectangular prism
cone
cylinder
Triangle ABC represents a metal flag on pole AD, as shown in the accompanying diagram. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape. Which shape would the spinning flag create?
Oblique Circular Cylinder
Sphere
Pyramid
Right Circular Cylindar
Cone
If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?
cone
pyramid
prism
sphere
triangular pyramid
Circle O is centered at the origin. In the diagram below, a quarter of circle O is graphed. Which three-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?
cone
sphere
cylinder
hemisphere
crescent
In the diagram below, right triangle ABC has legs whose lengths are 4 and 6. What is the volume of the three-dimensional object formed by continuously rotating the right triangle around side AB?
24π
32π
48π
96π
144π
As of 2015, the most densely populated state in the US was New Jersey. The 2015 population of New Jersey was 8,957,907 people with 1218.1 people per square mile. Which choice is the approximate land area of the state of New Jersey to the nearest square mile?
7135 sq. mi.
7354 sq. mi
10912 sq. mi.
12354 sq. mi.
not enough information
Ninety-eight cut boulders are being brought in to help prevent further erosion on a portion of this coastline. Each boulder has been roughly cut into a cube with sides of length 0.8 meters. The stone in the boulders has an average density of 3000 Kg/m3. A dump truck with a carrying capacity of 28,000 pounds is used to transport the boulders to the coastline. How many trips will the truck need to make to transport all of the boulders? Assume the truck does not exceed its carrying capacity.
10
11
12
13
14
Jason is drinking a soda from a can ridiculously large can that has a radius of 5 in and a height of 43 in. He has already drank 1/4 of the soda, how much soda is still remaining in the can? Leave the answer in terms of π.
1075π
268.75π
430π
806.25π
1075π
A dense patch of dandelions can contain 250 dandelions per square foot. Approximately how many dandelions could be in a circular area with a 6 foot diameter?
1500 dandelions
3750 dandelions
28260 dandelions
7065 dandelions
14130 dandelions
The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?
24,280 cubic feet
16,430 cubic feet
11,720 cubic feet
4,480 cubic feet
16,000 cubic feet
