Name:______________________________
Geometry U10L7-11 Test REVIEW
1)
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 this rotation?
1)
2)
3)
Date:_____________
Period:_____
4) William is drawing pictures of cross
sections of the right circular cone
below.
4)
Which drawing cannot be a cross section
of a cone?
2)
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?
1) sphere
2) pyramid
3) right circular cylinder
4) cone
3)
The cross section of a regular pyramid
contains the altitude of the pyramid.
The shape of this cross section is a
1)
2)
3)
4)
circle
square
triangle
rectangle
1)
2)
3)
4)
5) The volume of a rectangular prism is
144 cubic inches. The height of the
prism is 8 inches. Which measurements,
in inches, could be the dimensions of the
base?
1) 3.3 by 5.5
2) 2.5 by 7.2
3) 12 by 8
4) 9 by 9
6)
Two prisms have equal heights and equal volumes. The base of one is a pentagon
and the base of the other is a square. If the area of the pentagonal base is 36 square
inches, how many inches are in the length of each side of the square base?
1) 6
2) 9
3) 24
4) 36
7)
Tim has a rectangular prism with a length of 10 centimeters, a width of 2
centimeters, and an unknown height. He needs to build another rectangular prism with a
length of 5 centimeters and the same height as the original prism. The volume of the two
prisms will be the same. Find the width, in centimeters, of the new prism.
8)
A cylindrical container has a diameter of 12 inches
and a height of 15 inches, as illustrated in the diagram below.
What is the volume of this container to the nearest tenth of a cubic inch?
1) 6,785.8
2) 4,241.2
3) 2,160.0
4) 1,696.5
REVIEW 2|5
9)
If the length of a side of a cube is 7x,
which expression represents the cube's volume?
1)
2)
3)
4)
10)
Tracey has two empty cube-shaped containers with sides of 5 inches and 7 inches,
as shown in the accompanying diagram. She fills the smaller container completely with
water and then pours all the water from the smaller container into the larger container.
How deep, to the nearest tenth of an inch, will the water be in the larger container?
11)
The volume of a cylindrical can in
inches, what is its radius, in inches?
1) 8
2) 2
3) 16
4) 4
cubic inches. If the height of the can is 2
12)
A barrel of fuel oil is a right circular cylinder where the inside measurements of
the barrel are a diameter of 22.5 inches and a height of 33.5 inches. There are 231 cubic
inches in a liquid gallon. Determine and state, to the nearest tenth, the gallons of fuel
that are in a barrel of fuel oil.
REVIEW 3|5
13)
The Great Pyramid of Giza was constructed as a regular pyramid with a square base.
It was built with an approximate volume of 2,592,276 cubic meters and a height of 146.5
meters. What was the length of one side of its base, to the nearest meter?
1) 73
2) 77
3) 133
4) 230
14)
A regular pyramid with a square base is shown in the diagram. A side, s, of the base
of the pyramid is 12 meters, and the height, h, is 42 meters. What is the volume of the
pyramid in cubic meters?
15)
A water glass can be modeled by a truncated right cone (a cone which is cut parallel
to its base) as shown below.
The diameter of the top of the glass is 3 inches, the diameter at the
bottom of the glass is 2 inches, and the height of the glass is 5 inches.
The base with a diameter of 2 inches must be parallel to the base with
a diameter of 3 inches in order to find the height of the cone. Explain
why.
Then, determine and state, in inches, the height of the larger cone. Determine and state,
to the nearest tenth of a cubic inch, the volume of the water glass.
REVIEW 4|5
16)
A right circular cone has a diameter of
the cone in terms of π?
1)
and a height of 12. What is the volume of
2)
3)
4)
17)
The diameter of a sphere is 12 inches. What is the volume of the sphere to the nearest
cubic inch?
1) 288
2) 452
3) 905
4) 7,238
18)
The volume of a sphere is approximately 44.6022 cubic centimeters. What is the radius
of the sphere, to the nearest tenth of a centimeter?
1) 2.2
2) 3.3
3) 4.4
4) 4.7
19)
The density of the American white oak tree is 752 kilograms per cubic meter. If the
trunk of an American white oak tree has a circumference of 4.5 meters and the height of the
trunk is 8 meters, what is the approximate number of kilograms of the trunk?
1) 13
2) 9694
3) 13,536
4) 30,456
20) A hemispherical tank is filled with water and has a diameter of 10 feet. If water weighs
62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest
pound?
1) 16,336
2) 32,673
3) 130,690
4) 261,381
REVIEW 5|5