Surface Area- Prisms
What does P stand for in a volume and surface and equation.
Perimeter of the base
What do you call half of the diameter of a cylinder's base?
Radius
What is the definition of volume?
A measure of 3 dimensional space
What does B stand for in a Cone volume equation?
Area of the base
What is the equation of the volume of a Prism/Cylinder
V=Bh
What does h stand for in a volume and surface area equation?
Height of the prism
What is the approximate value of
pi?
3.14
How do we measure volume?
Cubed units
units3
What is the equation for the volume of a cone?
V=1/3Bh
What shape is the base of a cylinder?
Circle
How do you find the B for surface area of a prism?
Area of the Base
(A= bh for rectangles, A= 1/2bh for triangles)
Is this equation lateral or total surface area?
S=2(π)rh
LATERAL
What is the formula for volume of a sphere?
V= 4/3π r3
At a waterpark Bob is selling ice-cream cones for $5. Sarah buys a cone that has a radius of 4 cm and half of the height being 10 cm. What of the volume of Sarah's cone?
V=335.1 cm3
V=1/3π(42)(20)
A cylinder has a diameter of 14 units and half of the side length is 6 units. What is the volume of the cylinder?
V=1847.26 units3
True or False
S=Ph is a Total Surface Area equation
FALSE
What is the height of a shape?
The distance between the bases
A ball shaped like a sphere has a radius of 2.7 centimeters. Rounded to the nearest hundredth, what is the volume of the ball in cubic centimeters?
V= 82.45 cm3
Bob goes to a hardware store to buy a traffic cone for his project in math. Bob finds a cone with the diameter of 20 inches and height of 30 inches. What is the volume of this cone?
V=3141.59 inches3
A cylinder has a radius of 4 yards and a height of 10 yards, what is the volume of the shape?
V=502.65 yards3
What is the difference between Lateral and Surface Area?
Lateral= faces only (sides)
Total= includes both bases
What is do we call the perimeter of the circular base of a cylinder?
Circumference
A water tower has a spherical tank with a diameter of 6 meters. In terms of pi, what is the volume of the water tank?
36π m3
(113.10 m3 is the final answer, but not in terms of π)
At Jerry's birthday party his mom ordered 10 cone shaped hats. The diameter of the cone is 12 inches and the height is 20.8 inches. What is the volume of the cone shaped party hat?
V=784.14 inches3
In a museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 12 feet and has a height of 40 feet. What is the volume of this sculpture?
V=4523.89 feet3