Physics Exercises
Chapter 3
Surface Area, Volume, and Capacity
3.1 Surface Area of Prisms
3.2 Surface Area of Pyramids, Cylinders, Spheres, and Cones
3.3 Volume and Capacity of Prisms and Cylinders
3.4 Volume and Capacity Spheres, Cones, and Pyramids
[pic]
Name: _____________________________
3.1 Surface Area of Prisms
Review of Surface Area of 2D Figures
Examples
Calculate the area of each figure: …show more content…
Alex is going to construct a fish tank that is 1.2 m long, 0.6 m wide, and 0.4m high. How much glass will he need to make it? (Note: There will be no glass on the top.)
Answers:
1. a) 376 cm2 b) 108 in2 2. a) 14.5 m2 b) 2250 cm2 3. a) 31800 cm2 b) 38160 cm2 4. 48.5 ft2 5. 2.2 m2
Activity: Composite Shapes 3.2 Surface Area of Pyramids, Cylinders, Spheres, and Cones
Last section we looked at the surface area of mostly rectangular and triangular prisms.
In this section we are looking into:
Cylinders:
A 3D shape with _________________________ that are parallel and congruent. The side is a rectangle that is “_________________________” the circular face at the ends.
Pyramids:
A 3D shape with a base of a polygon and the lateral sides that are triangles that meets at the vertex.
Cones:
A 3D shape with a _________________________________________________.
Spheres:
A 3D shape, whose surface consists of points that are all _______________________ _________________________ of the sphere.
To determine the surface areas of these shapes we add up all the different sides, there are just different processes for …show more content…
Find the surface area of a cone that has a slant height of 82 cm and a radius of 28 cm.
2. Find the surface area of a cone with a diameter of 13.6 cm and a slant height of 9.8 cm.
3. Find the total surface area of a cone with a radius of 16 inches and a height of 20 inches.
4. Find the surface area of a cone with a radius of 45.7 mm and a height of 39.7 mm.
5. Find the lateral surface area of a cone whose height is 32 cm and whose diameter is 28 cm.
Answers:
1. 9676.1 cm2 2. 354.6 cm2 3. 2091 in2 4. 15247 mm2 5. 1535 cm2
Surface Area of Composite Figures: Cylinders, Pyramids, Cones, Spheres
Let’s put everything together to calculate the surface area of some composite figures.
Example
Find the surface area of the composite figure.
(a)
(b)
Worksheet: Surface Area of Composite Figures
Surface Area of Composite Figures
Surface Area, Volume, and Capacity
3.1 Surface Area of Prisms
3.2 Surface Area of Pyramids, Cylinders, Spheres, and Cones
3.3 Volume and Capacity of Prisms and Cylinders
3.4 Volume and Capacity Spheres, Cones, and Pyramids
[pic]
Name: _____________________________
3.1 Surface Area of Prisms
Review of Surface Area of 2D Figures
Examples
Calculate the area of each figure: …show more content…
Alex is going to construct a fish tank that is 1.2 m long, 0.6 m wide, and 0.4m high. How much glass will he need to make it? (Note: There will be no glass on the top.)
Answers:
1. a) 376 cm2 b) 108 in2 2. a) 14.5 m2 b) 2250 cm2 3. a) 31800 cm2 b) 38160 cm2 4. 48.5 ft2 5. 2.2 m2
Activity: Composite Shapes 3.2 Surface Area of Pyramids, Cylinders, Spheres, and Cones
Last section we looked at the surface area of mostly rectangular and triangular prisms.
In this section we are looking into:
Cylinders:
A 3D shape with _________________________ that are parallel and congruent. The side is a rectangle that is “_________________________” the circular face at the ends.
Pyramids:
A 3D shape with a base of a polygon and the lateral sides that are triangles that meets at the vertex.
Cones:
A 3D shape with a _________________________________________________.
Spheres:
A 3D shape, whose surface consists of points that are all _______________________ _________________________ of the sphere.
To determine the surface areas of these shapes we add up all the different sides, there are just different processes for …show more content…
Find the surface area of a cone that has a slant height of 82 cm and a radius of 28 cm.
2. Find the surface area of a cone with a diameter of 13.6 cm and a slant height of 9.8 cm.
3. Find the total surface area of a cone with a radius of 16 inches and a height of 20 inches.
4. Find the surface area of a cone with a radius of 45.7 mm and a height of 39.7 mm.
5. Find the lateral surface area of a cone whose height is 32 cm and whose diameter is 28 cm.
Answers:
1. 9676.1 cm2 2. 354.6 cm2 3. 2091 in2 4. 15247 mm2 5. 1535 cm2
Surface Area of Composite Figures: Cylinders, Pyramids, Cones, Spheres
Let’s put everything together to calculate the surface area of some composite figures.
Example
Find the surface area of the composite figure.
(a)
(b)
Worksheet: Surface Area of Composite Figures
Surface Area of Composite Figures