Identify the figure, then identify a base, a vertex, and an edge in the figure.
Figure- Rectangular Pyramid
Base- Rectangle ABCD
Possible Answers:
Edges- AB, BC, CD, AD, AE, BE, CE, and DE.
Vertices- A, B, C, D, and E
100
What is the volume of a cube whose side lengths are 7 cm.?
343 cm³
100
Find the volume of a square pyramid with base side length of 10 yards and a height of 6 yards. Round to the nearest tenth, if necessary.
200 yards³
100
What is equation to find the volume of a sphere? Find the volume of a sphere with a diameter of 12 cm. give answer in terms of Pi
V = 4/3π r³, see example problem #1
200
Describe the cross section.
The cross section is a circle.
200
Find the volume of the right rectangular prism whose length is 11 in., width is 6 in., and height is 9 in.?
594 inches³
200
Find the volume of a cone when the radius is 4 meters and the height is 12 meters. Round to the nearest tenth, if necessary.
201.1 meters³
200
How do you find the volume of the hemisphere?
Find the volume of a sphere and divide by 2, see example problem #2
300
Describe the figure that can be made from the net, then, explain why the figure can be made from this net.
Triangular prism; the net has two triangular faces. the other faces are parallelogram.
300
Find the volume of the hexagonal prism.
3637.2 inches³
300
Find the volume of a cone with a radius of 7 meters and a height of 3 meters. Round to the nearest hundredth if necessary.
153.94 meters³
300
Academy sells two sizes of exercise balls, the standard (24 inches in diameter) and a jumbo ball (50 inches in diameter). How many times as great is the volume of the jumbo ball to the volume of the standard ball?
See example problem #3
400
Describe the cross section.
The cross section is a hexagon.
400
Find the volume of the composite figure. Give your answer rounded to the nearest tenth.
2450.4 inches³
400
Look at the diagram that says "400 SECTION 3". Find the volume of the square pyramid. Round to the nearest hundredth if necessary.
484 cm³
400
What is the equation for the surface area of a sphere? What units is this in? Please give an example.
SA = 4π r², in units², answers may vary.
500
How would a chef cut a cone-shaped piece of cheese in order to get triangle-shaped pieces of cheese?
Perpendicular to the base.
500
Describe the effects of change on the volume of the given figure.
The dimensions are multiplied by 1/3.
The volume is multiplied by 1/27, the new volume is 36 ft³.
500
Look at the diagram that says "500 SECTION 3". Find the volume of the cone. Round to the nearest tenth if necessary.
29.3 m³
500
The radius of a sphere is multiplied by ¾. Describe the effect on the volume.