Cross Section
Volume
Density/Area
Rotating 2D Figures
Area/Perimeter Review
100
True or False
A vertical slice through the vertex at the top of the pyramid would result in a cross section that is a triangle.
True
100
Find the volume of the cone
29 in3
100
A forest area of 30,000 square feet contains 300 trees.What is the density of the area?
1 tree per ______ square feet
1 tree per 100 square feet
100
The rectangle below is rotated 360o about the line LR. What 3-dimensional figure is created?
Cylinder
100
8002 - 6002
200
True or False
A horizontal slice through the middle of the pyramid would result in a cross section that is a triangle.
False
200
A small can of tomato paste has a radius of 2 inches and a height of 4 inches. Suppose the larger, commercial-size can has dimensions that are related by a scale factor of 3.
How much larger is the volume of the large can than the small can?
33
200
A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space, what is the maximum volume of space that 1,000 BTUs will cool?
400 ft3
200
The triangle below is rotated 360o about the line MN. What 3-dimensional figure is created?
Cone
200
A zoo owner needs to build a right triangular enclosure for his tigers, according to the specifications below.
- The enclosure uses no more than 80 yards of fencing.
- The area of the enclosure is at least 125 square yards.
Could the the lengths of the legs of the right triangular enclosure be 18 yards and 24 yards?
Yes
300
True or False
A vertical slice NOT through the vertex at the top of the pyramid would result in a cross section that is a trapezoid.
True
300
Andrew builds a pyramid-shaped sand castle with a base area of 144 square inches and a height of 10 inches. His friend, Erin, builds a larger pyramid-shaped castle with a length, width, and height that are related by a scale factor of 2.
How much larger is the volume of the large sand-castle than the small sand-castle?
23
300
A bar of gold is shaped like a rectangular prism measuring 4 centimeters by 6 centimeters by 10 centimeters. Gold has a density of approximately 19.3 grams per cubic centimeter. What is the approximate mass of the bar of gold?
4,632 grams
300
The circle below is rotated 360o about the diameter shown. What is the resulting 3-demential figure?
Sphere
300
A zoo owner needs to build a right triangular enclosure for his tigers, according to the specifications below.
- The enclosure uses no more than 80 yards of fencing.
- The area of the enclosure is at least 125 square yards.
Could the the lengths of the legs of the right triangular enclosure be 10 yards and 24 yards?
No