Geometry B
Unit 8
Name
Date
Period
1) Describe each cross-section.
Rectangular Pyramid
2) Describe the 3-d figure that can be made from the net.
3) Describe the figure that is generated by each rotation in three dimensional space.
Rotate a right triangle
around a line that
contains one of its legs.
Rotate a semicircle around a
line through the endpoints of
the semicircle.
Rotate a isosceles triangle
around the triangle’s line
of symmetry.
Rotate a right isosceles
triangle around a line that
contains the triangle’s
hypotenuse.
Rotate a line segment
around a line that is
perpendicular to the
segment and that passes
through an endpoint of
the segment.
4) Find the area of the regular hexagon with the side length of 5 in.
5) Find the area of the regular heptagon.
6) Find the area and circumference of the circle. Leave your answers in terms of pi and rounded to the tenth.
7) Find the area of an equilateral triangle with a side length of 6 in.
8) If the circumference of a circle is 14 in, what is the area of the circle?
9) Find the area of the triangle.
10)
Find the area of the parallelogram.
Geometry B
Unit 8
11)
Name
Date
Period
Find the volume of each prism or cylinder.
A cube with an edge length of 8
feet.
A square prism with a side
length of 4 cm and the height of
the prism is 10 cm.
12) Find the volume of the right hexagonal prism with a side length of 6m and the height of the prism is 8m.
13) Explain how the diagram demonstrates Calvieri’s principle.
14) The height of a cylinder is multiplied by 7. What happens to the volume of the cylinder?
15) The length, width, and height of a rectangular prism are divided by 2. What happens to the volume of the
prism?
Geometry B
Unit 8
Name
Date
Period
16) Find the volume of each pyramid or cone.
An
equilateral
triangular
pyramid with
a base edge
length of 5
cm and the
height of the
prism is 10
cm.
A right cone
with a radius
of 9 cm and
the slant
height of
the cone is
15 cm.
17) Find the volume of the right hexagonal pyramid with a base edge of 4 cm and the height of the pyramid is
4 3 cm.
18) A square pyramid with a height of 5 feet has a volume of 60 ft3. What is the side length of the square
base?
19) The radius and the height of a right cone are tripled. What happens to the volume of the cone?
20) The volume of the cube is 216 cm3. What is the volume of the square pyramid? The height of the square
pyramid is equal to the edge length of the cube.
Geometry B
Unit 8
Name
Date
Period
21) Find the volume.
The sphere with a
diameter of 18 cm.
The
hemisphere
with a radius
of 7 feet.
22) Find the diameter of a sphere with a volume of 7776 in3.
23) Find the radius of a hemisphere with a volume of 144 cm3.
24) Find the volume of a sphere with a great circle circumference of 36 ft.
25) The diameter of a sphere is multiplied by 6. What happens to the volume of the sphere?
Geometry B
Unit 8
Name
Date
Period
26) Find the volume.
Volume of Cone
Volume of Cone
Total Volume
Volume of
Rectangular Prism
Volume of
Rectangular
Pyramid
Total Volume
Volume of
Rectangular Prism
Volume of
Cylinder
Total Volume
Volume of
Cylinder
Volume of
Hemisphere
Total Volume
Volume of
Cylinder
Volume of Cone
Total Volume
Volume of Cone