Do you know HOW?
Draw a net for each figure. Label the net with appropriate dimensions.
A pyramid has slant height 7 inches and square base with sides 6 inches.
A cone has height 10 centimeters and radius 4 centimeters.
Use the polyhedron below for Exercises 3 and 4.
A polyhedron has two trapezoidal sides, each with a side perpendicular to the bases, connected by four rectangular faces.
Verify Euler's Formula for the polyhedron.
Draw a net for the polyhedron. Verify F+V=E+1
f plus , v equals . e plus 1 for the net.
What is the number of edges in a pyramid with seven faces?
Describe the cross section formed in each diagram.
A vertical plane intersects a triangular prism with bases on top and bottom parallel to its left side.
A diagonal plane intersects an oblique cylinder, passing through the top base and a side.
Aviation The flight data recorders on commercial airlines are rectangular prisms. The base of a recorder is 15 in. by 8 in. Its height ranges from 15 in. to 22 in. What are the largest and smallest possible volumes for the recorder?
Find the volume and surface area of each figure to the nearest tenth.
A sphere has radius 4 feet.
A pyramid has slant height 9 inches and square base with sides 8 inches.
A prism has height 4 centimeters and rectangular bases 5 centimeters by 11 centimeters.
A cone has height 6 meters and radius 5 meters.
A cylinder has height 8 centimeters and radius 3 centimeters.
A figure is composed of a prism with height 1 inch, length 6 inches, and width 12 inches, with half cylinders spanning each width side.
List these solids in order from the one with least volume to the one with the greatest volume.
a cube with edge 5 cm
a cylinder with radius 4 cm and height 4 cm
a square pyramid with base edges 6 cm and height 6 cm
a cone with radius 4 cm and height 9 cm
a rectangular prism with a 5 cm-by-5 cm base and height 6 cm
Painting The floor of a bedroom is 12 ft by 15 ft and the walls are 7 ft high. One gallon of paint covers about 450ft2.
450 , ft squared , . How many gallons of paint do you need to paint the walls of the bedroom?
Do you UNDERSTAND?
Reasoning What solid has a cross section that could either be a circle or a rectangle?
Visualization The triangle is revolved completely about the y-axis.
A graph of a triangle has vertices (0, 0), (0, 3), and (4, 0).
Describe the solid of revolution that is formed.
Find its lateral area and volume in terms of π.
Open-Ended Draw two different solids that have volume 100 in.3.
100 , in , . cubed , . Label the dimensions of each solid.
