Prisms
The volume formula for a rectangular prism.
V = Bh
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
At a wedding, guests are given cone-
shaped cups filled with flower petals. The cups
have a radius of 5 centimeters and a height of
10 centimeters. If there are 150 cups, what is
the total volume of petals that all the cones will
hold? Round to the nearest whole number.
39,270 cm cubed
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 volume of the paper cone?
100.48 in3
An above-ground garden in the shape of a
rectangular prism measures 6 feet by 4 feet
by 2 feet. The soil costs $1.30 per cubic foot.
How much will it cost to fill the above-ground
garden?
$62.40
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-embedded in the ground. The asteroid is perfectly spherical and is 37 feet in diameter. What is the volume of the asteroid that's embedded in the ground?
13,254.2 cubic feet
The volume of a cone whose height is 7.8 mm and whose diameter is 6.4 mm.
83.6 mm3
Oriana has 3 identical fish tanks in the
shape of rectangular prisms. Each tank is 16
inches tall, 2 feet wide, and 12 inches long. How
many cubic inches will Oriana’s 3 fish tanks
hold altogether?
13,824 inches cubed
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 volume of the new office building.
125,600,000 ft3
The volume of an ice cream scoop with a diameter of 4 inches.
12.56 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? And by how much?
Shop A by 4.12 cubic inches more
The radius of a basketball is 10 inches, and
the radius of a soccer ball is 9 inches. How
much greater is the volume of the basketball
than the soccer ball? Round to the nearest
tenth.
1,135.2 inches cubed
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
A cylindrical cooler is filled with juice. The
container has a radius of 7 inches and a height
of 18 inches. If a cubic inch contains about
0.004 gallons of juice, how many gallons of
juice does the container hold? Round to the
nearest tenth.
11.1 gallons