Prisms and Cylinders
Pyramids and Cones
Spheres
Specific Formulas and Change in Dimensions
Miscellaneous
100
The lateral area of a prism or cylinder
What is L.A. = ph?
100
The formula for the lateral area of a cone or pyramid
What is 1/2 lp?
100
The surface area of a sphere
What is S.A. = 4∏r^2?
100
The specific volume formula for a cylinder with radius r and height h
What is V = Bh = (∏r^2)h?
100
The cube root of 238,328
What is 62?
200
The perimeter p of a cylinder
What is the circumference of a circle, or 2∏r?
200
Where the slant height is found on a pyramid
What is directly up the middle of a face of a pyramid at a right angle to the base edge?
200
The volume formula for a sphere
What is 4/3∏r^3?
200
The number of times a cube's surface area and volume is multiplied when the side length is quadrupled (4X)
What is 16X and 64X greater?
200
The expanded version of the following expression (a + 6)(2a + 1)(a + 8)
What is 2a^3 + 29a^2 + 110a + 48?
300
The formula for base, B, of a cylinder
What is the area of a circle or ∏r^2?
300
The height of a pyramid with volume 75 cubic cm and base area 5 square cm
What is 45 cm?
300
The surface area and volume of a sphere with diameter 6 mm
What is 36∏ square mm and 36∏ cubic mm?
300
The specific formula for the lateral area (L.A.) of a box with height h, length 4h, and width 3h
What is L.A. = ph = (14h)(h) = 14h^2
300
The two conditions necessary in order to use Cavalieri's Principle to prove that two figures have the same volume
What is (1) that the figures have the same height and (2) that every cross section parallel to the base has the same area?
400
The surface area of a cube with volume 8 cubic feet
What is 6s^2 or 24 square feet?
400
The lateral area of a cone with radius 3 and height 4
What is 1/2 lp or 1/2(5)(2∏3) = 15∏
400
The volume of a hemispheric dome with diameter 60 feet
What is 18000∏ or 56,549 cubic feet?
400
The number of times a sphere's surface area and volume is multiplied when the radius is doubled
What is 4X and 8X?
400
The cube root of 15 + the cube root of 21 (to the nearest hundredth)
What is 5.23?
500
The volume of a cylinder with diameter 8p and height equal to the radius of its base
What is 64p^3 cubic units?
500
The volume of an ice cream cone with radius 5 and slant height 13
What is V = Bh = (∏r^2)(h) = (25∏)(12) or 300∏ cubic units?
500
The radius of a sphere with volume of 288∏ cubic units
What is 6 units?
500
The number of times a cone's volume is multiplied when the height stays the same and the radius is doubled
What is it is quadrupled?
500
The reason why a cylinder with height 10 and radius 10 doesn't have the same volume as a square prism with height 10 and side length 10 (be specific)
What is the area of the bases are not the same, so Cavalieri's Principle does not apply?
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