Cylinders & Cones & Spheres
What is the formula to find the volume of a cylinder?
Find the volume of a cylinder with radius 1 in and height 1 in.
What is V=πr2*h
Volume is 3.1 in3
How do you find the volume of a rectangular prism?
What is area of the base (length x width) x height of the prism
Describe the formula for finding the surface area of a rectangular prism
What is SA = 2(L*W + L*H + W*H) or
SA = 2B + Ph
Describe the formula to find the volume of a triangular prism.
What is Volume = (bh/2) x H
Describe the process for finding surface area of a triangular prism.
Find the area of the base triangle, double it, then add the perimeter times the height. 2B + PH
What is the formula for surface area of a cylinder?
Find the surface area of a cylinder with radius 1 in and height 1 in.
SA = 2πr2+ 2πrh
SA = 12.6 in2
Find the volume of a rectangular prism with length of 6, width of 4, and height of 11 feet.
What is 264 ft3
Find the surface area of a rectangular prism with length of 6, width of 4, and height of 11 feet.
What is SA = 268 ft2
Find the volume of a triangular prism with base = 12, triangle height = 4, prism height = 9 inches.
What is volume = 216 in3
Find the surface area of the triangular prism with a triangle base 3 by 4 inches tall and a height of 5. Perimeter of the base is 12.
12 + 12*5 = 72 in2
What is the formula for the volume of a cone? Find the volume of the cone with radius 1 in and height 1 in.
V = 1/3 πr2 * h
V = 1 in3
Find the volume of a rectangular prism with l = 3.5, w = 2.7, and h = 1.9 inches.
What is volume = 18 in3
Find the surface area of a rectangular prism with l = 3.5, w = 2.7, and h = 1.9 inches.
What is SA = 42.5 in2
Find the volume of a triangular prism with base = 10.5, triangle height = 7.3, prism height = 3.2 feet.
What is v = 132.7 ft3
Find the surface area of the triangular prism with a triangle base 5 by 12 inches tall and a height of 10. Perimeter of the base is 30.
SA = 60 + 30*10 = 360 in2
What is the formula for the surface area of a cone?
Find the surface area of a cone with radius 1 in and height 1 in.
SA = πr2 + 1/2*2πr*l or
SA = B + 1/2Pl
SA = 6.3 in2
Find the volume of a cube with a side length of 7 yards.
What is volume = 343 yds3
Find the surface area of a cube with a side length of 7 yards.
What is SA = 294 yds2
Find the volume of a triangular prism with base = 6, triangle height = 7, prism height = 6 meters.
What is v = 126 m3
Find the surface area of the triangular prism with a triangle base 6 by 8 inches tall and a height of 7. Perimeter of the base is 24.
SA= 48 + 168 = 216 in2
FINAL JEOPARDY
Which is bigger, 4 cones with radius 10 cm and height 10 cm, or 1 sphere with radius 10 cm. (Volume)
V = 4 * 1/3 * πr2 * 10 = 3141.6 cm3
or
V = 4/3π103 = 4188.8 cm3
Find the volume of a rectangular prism with l = 12.55, w = 7.5 and h = 2.22 meters.
What is volume = 209 m3
Find the surface area of a rectangular prism with l = 12.55, w = 7.5 and h = 2.22 meters.
What is SA = 277.3 m2
Find the volume of a triangular prism with base = 4.5, triangle height = 9, prism height = 21.3 inches.
What is v = 431.3 in3
Find the surface area of the triangular prism with a triangle base 3.3 by 4.4 yards tall and a height of 5.5. Perimeter of the base is 13.2.
SA = 14.5 + 72.6 = 87.1 yds2