Properties of Geometric Solids Worksheet

Transcription

Properties of Geometric Solids Worksheet
Honors Geometry
Surface Area/Volume PODs
Name:
Period:
LA/SA of Prims POD
1.
Find the lateral and surface area of the following prisms. Round to the nearest tenth.
2.
LA :
LA :
SA:
SA:
3. Find the area of a regular pentagon with side length 16cm.
1.
LA/SA of Cylinders POD
Find the lateral and surface area of the following prisms. Leave cylinders in terms of π
2.
LA :
LA :
SA:
SA:
3. Janet needs to wrap a package to ship her aunt Michelle. The rectangular package measures 2in high, 10in
long and 4in wide. How much wrapping paper does Janet need to cover the package?
SA/Volume of Spheres POD
1. Find the radius of the base of a cylinder if the surface area is 892.2 sq ft and the height is 4.2 ft.
2. Given a circle with an area of 28.6 in2, find the radius.
3. What is the difference between volume and surface area?
Rev A
Honors Geometry
Surface Area/Volume PODs
Name:
Period:
SA of Cone POD
1.
A standard size 5 soccer ball for ages 13 and older has a circumference of 27-28 inches. Suppose Miguel is on a team
that plays with a 28-in soccer ball. Find the surface area of the ball.
Find the value of the missing sides.
2.
3.
4.
SA of Pyramid POD
1.
Find the LA & SA of a cone with a radius of 5cm and height of 13cm.
2.
Find the area of the following regular polygons
a. hexagon with side 4in
b. pentagon with side 10m
3.
A junior basketball has a diameter of approximately 7 in and a regulation basketball has a diameter of approximately
9.5 in. About how many times as great is the volume of the regulation basketball as the volume of the junior
basketball?
Volume of Prisms POD
Find the LA, SA and volume of the following prisms
1.
2.
3.
11ft
11 ft
4.
11ft
The roof of a birdhouse is a regular hexagonal pyramid. The base of the pyramid has sides of length 4in and a slant
height of the roof is 12in. If the roof is made of cooper, find the amount of copper used for the roof.
Volume of Pointy-Tops POD
Find the LA, SA and volume of the following pointy-tops
1.
2.
3.
A water tank shaped like a rectangular prism measures 6ft by 8ft by 10ft. How many gallons will it hold?
(1ft3 = 7.5 gal)
Rev A