Volume of Prisms & Cylinders
Volume of Pyramids, Cones, & Spheres
Surface Area of Pyramids, Cones, & Spheres
Applications
Pythagorean Theorem
100
What is the formula for the volume of a prism, and what does each variable represent?
V=B*h
100
What is the formula to find the volume of a cone, and what does each variable represent?
V = 1/3(pir^2h)
100
What is the formula for the surface area of a sphere, and what does each variable represent?
S.A. = 4pir^2
100
The base of a rectangular prism has dimensions measuring 8 feet by 17 feet. If the volume of the prism is 1,632 cubic feet, find the height of the prism.
12 feet
100
Is this a right triangle? Why or why not?
Yes, because 62 + 82 = 102
200
What is the formula to find the volume of a cylinder, and what does each variable represent?
V = Bh or V = pir^2h
200
What is the formula to find the volume of a sphere, and what do the variable represent?
V = 4/3(pir^3)
200
What is the formula for the surface area of a cone, and what does each variable represent?
S.A. = pirl+pir^2
200
A cone with a diameter of 17 feet has a volume of 190.07 cubic feet, find the height of the cone.
2.5 feet
200
Find the missing side:
6.7
300
What is the volume of the following cylinder:
V = 1,407.43in3
300
What is the volume of the following cone:
V = 314.16in3
300
What is the formula for surface area of a pyramid, and what does each variable represent?
S.A. = 1/2pl+B
300
A company manufactures glass paperweights in the shape of square base pyramids. The paperweight is three inches tall and has a base-edge length of two inches. How much glass is needed to make the paperweight?
4 cubic inches
300
Find the missing side. Round to the nearest tenth.
7.5
400
What is the volume of the following rectangular prism:
V = 1,408cm3
400
What is the volume of the following sphere:
V = 113.10u3
400
What is the surface area of the following pyramid:
S.A. = 1,280m2
400
Find the length of the diameter of a sphere with a surface area of 1,017.88 square millimeters.
18 mm
400
Find the slant height of the cone. Round to the nearest tenth.
7.3 mi
500
What is the volume of the following triangular prism:
V = 726in3
500
What is the volume of the following pyramid:
V = 1,728in3
500
What is the surface area of the following cone:
S.A. = 204.20in2
500
Find the circumference of a circle with an area of 615.75 square inches.
88 inches
500
Find the area of the triangle. Round answer to the nearest tenth.
13.6 units