Warm
Ups
1-1
Evaluating
Algebraic Expressions
Preview
10-1 Three-Dimensional Figures
10-2 Volume of Prisms and Cylinders
10-3 Volume of Pyramids and Cones
10-4 Surface Area of Prisms and Cylinders
10-5 Surface Area of Pyramids and Cones
10-6 Spheres
10-7 Scaling Three-Dimensional Figures
Holt CA Course 2
10-1
Figures
1-1 Three-Dimensional
Evaluating Algebraic
Expressions
Warm Up
Identify each two-dimensional figure
described.
1. four sides that are all congruent rhombus
2. six sides hexagon
3. four sides with parallel opposite sides
parallelogram
4. four right angles and four congruent sides
square
Holt CA Course 2
10-2
of Cylinders
and PrismsExpressions
1-1 Volume
Evaluating
Algebraic
Warm Up
Find the area of each figure described. Use
3.14 for p.
1. a triangle with a base of 6 feet and a height
of 3 feet 9 ft2
2. a circle with radius 5 in. 78.5 in2
Holt CA Course 2
10-3
of Pyramids
and Cones Expressions
1-1 Volume
Evaluating
Algebraic
Warm Up
1. Find the volume of a rectangular prism that is 4 in.
tall, 16 in. wide, and 48 in deep.
3072 in3
2. A cylinder has a height of 4.2 m and a diameter of
0.6 m. To the nearest tenth of a cubic meter, what
is the volume of the cylinder? Use 3.14 for p.
1.2 m3
3. A triangular prism’s base is an equilateral triangle.
The sides of the triangle are 4 ft, and the height of
the prism is 8 ft. To the nearest cubic foot, what is
the volume of the prism?
55.4 ft3
Holt CA Course 2
10-4
Area of Prisms
and Cylinders
1-1 Surface
Evaluating
Algebraic
Expressions
Warm Up
1. A triangular pyramid has a base area of 1.2 m2
and a height of 7.5 m. What is the volume of
the pyramid?
3 m3
2. A cone has a radius of 4 cm and a height of 10
cm. What is the volume of the cone to the
nearest cubic centimeter? Use 3.14 for p.
167 cm3
Holt CA Course 2
10-5
Area of Pyramids
and Cones
1-1 Surface
Evaluating
Algebraic
Expressions
Warm Up
1. A rectangular prism is 0.6 m by 0.4 m by 1.0 m.
What is the surface area?
2.48 m2
2. A cylindrical can has a diameter of 14 cm and a
height of 20 cm. What is the surface area to the
nearest tenth? Use 3.14 for p.
1186.9 cm2
Holt CA Course 2
10-6
1-1 Spheres
Evaluating
Algebraic Expressions
Warm Up
1. Find the surface area of a square
pyramid whose base is 3 m on a side
and whose slant height is 5 m.
39 m2
2. Find the surface area of a cone whose
base has a radius of 10 in. and whose
slant height is 14 in. Use 3.14 for p.
753.6 in2
Holt CA Course 2
10-7
Three-Dimensional
Figures
1-1 Scaling
Evaluating
Algebraic
Expressions
Warm Up
Find the surface area of each rectangular
prism.
1. length 14 cm, width 7 cm, height 7 cm 490 cm2
2. length 30 in., width 6 in., height 21 in. 1872 in2
3. length 3 mm, width 6 mm, height 4 mm 108 mm2
4. length 37 in., width 9 in., height 18 in.
Holt CA Course 2
2322 in2