Prisms
The volume formula for a rectangular prism.
V = lwh
The volume of a cylinder whose radius is 4 feet with a height of 3 feet.
150.7 ft3
The volume of a sphere with a radius of 5 feet.
523.3 ft3
The volume of a cone that has a radius of 5 inches and a height of 12 inches.
314 inches3
Evaluate: 43
64.
Find the volume:
Length = 6 ft, Width = 4 ft, Height = 7 ft
57 ft3
The volume of a cylinder whose radius is 4.8 inches with a height of 14.7 inches.
1063.5 cubic inches.
The volume of a sphere whose diameter is 8 cm.
267.95 cubic centimeters
You get a snow cone at the fair. The paper cone you are given has an opening of 8 inches in diameter and is 6 inches tall. What is the exact volume of the paper cone?
32pi in3
List the Order of Operations.
Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction - PEMDAS
The length, width, and height of a rectangular prism are 3 inches, 4 inches and 5 inches respectively. Find the volume of the prism.
60 in3
You decide to start saving water by collecting rain in a barrel. You buy a cylindrical barrel 2 feet across and 3.5 feet tall. What is the total volume of rain that you can collect?
10.99 cubic feet.
You are out for a hike when you stumble upon an asteroid half-imbedded in the ground. The asteroid is perfectly spherical and is 37 feet in diameter. What is the volume of the asteroid?
26508.4 cubic feet
The volume of a cone whose height is 7.8 mm and whose diameter is 6.4 mm.
83.6 mm3
Solve: 2x + 10 = 40
x = 15
A rectangular prism has a width of 7 in. and a length of 9 in. If the volume of this prism is 315 in3, what is the height of the prism?
5 in.
Disney has built a new cylindrical office building at its headquarters in Burbank, California. Given that the tower is 400 feet tall and 200 feet across, find the exact volume of the new office building.
4,000,000pi ft3
The EXACT volume of an ice cream scoop with a diameter of 4 inches.
32pi/3 in3
You visit two ice cream shops. They both have delicious waffle cones. They both charge the same amount for the cones, but they are different sizes. Shop A's cones are 3 inches in diameter and 8 inches tall. Shop B's cones are 2.5 inches in diameter and 9 inches tall. Which shop gives you more ice cream?
Shop A
What is the difference between a prism and a pyramid?
Prism has the same shape on both sides and the pyramid comes to a point.
Find the length:
Width = 6 ft, Height = 10 ft, Volume = 480 ft3
8 ft.
You are playing outside when you discover a cylindrical well about 5 feet across. You are not sure how deep it is, so you decide to get a hose and fill it with water. After delivering 100 cubic feet of water, the well is completely filled. Rounded to the nearest foot, what is the height of the well?
5 ft.
The radius of a sphere with a diameter of 11 yd.
5.5 yd.
This is the height of a cone whose volume is 307.72 centimeters and has a radius of 7 centimeters.
6 cm
Find the slope: (3, 7) and (4, 13)
m = 6