Surface Area of Rectangular Prisms
Carla is wrapping a present that is 4 inches tall, 10 inches long, and 3 inches wide. How much wrapping paper does she need, not including overlap?
164 in2
A rectangular prism has dimensions of 1 cm x 2 cm x 3 cm. What is the volume?
6 cm3
4
What is the surface area of a cylinder that has a radius of 5 in and a height of 8 in?
408.2 in2
Find the volume of a cylinder with a radius of 4 units and a height of 7 units.
351.68 units3
A rectangular prism has dimensions of 2 in x 4 in x 4 in. What is the surface area of the prism?
64 in2
A rectangular prism has dimensions of 10 in x 12 in x 14 in. What is the volume?
1680 in3
What is the formula for volume of a rectangular prism?
V=lwh
What is the surface area of a cylinder with a radius of 4 cm and a height of 4 cm?
282.6 cm2
Find the volume of a cylinder with a diameter of 2 cm and a height of 3 cm.
9.42 cm3
Henry wants to cover a box that is 10 cm tall, 24 cm wide, and 27 cm long with paper without any overlap. How many square centimeters will be covered with paper?
2316 cm2
A rectangular pool has a depth of 6 feet and is 12 feet long and 14 feed wide. If 1 cubic foot of water is equal to 7.5 gallons, how many gallons of water are needed to fill the pool?
7560 gallons of water
What is the formula for volume of a cylinder?
V=2𝝅r2
What is the surface area of a cylinder with a diameter of 4 feet and a height of 5 feet?
113.04 ft2
A packaging tube in the shape of a cylinder is 36 inches long. It has a radius of 2 inches. What is the volume of the tube to the nearest tenth? Use 3.14 for π
452.2 in3
Erin is making a jewelry box of wood in the shape of a rectangular prism. The jewelry box will have dimensions of 12 in wide, 15 in long, and 6 in tall. She plans to spray paint the exterior of the box. How many square inches will she have to paint?
684 in2
A rectangular box has been designed to hold little cube shaped weights that have a volume of 2 ft3 . If the box has dimensions of 4 feet x 6 feet x 2 feet, how many weights will it hold?
24 weights
What is the formula for surface area of a rectangular prism?
SA =2lw+2lh+2wh
A cylindrical pipe is 25 inches long and has a diameter of 5 inches. What is the area of the lateral surface of the pipe? Use 3.14 for π.
*Lateral means you don't find the surface area of the top and bottom, just the middle.
392.5 in2
A city aquarium has two cylindrical fish tanks. One tank has a diameter of 24 inches and a height of 48 inches. The other tank has a diameter of 18 inches and a height of 54 inches. Which tank holds more water? Explain.
The 24-inch diameter tank; it holds about 21,704 in3 of water. The 18-inch diameter tank holds only about 13,734 in3 of water.
Dmitri wants to cover the top and sides of a box that is 9 cm tall, 15 cm wide, and 20 cm long with glass tiles that are 5 mm square. How many tiles does he need?
3720 tiles
A rectangular trough is going to be filled half way. If the whole trough has dimensions of 6 ft x 3 ft x 2 ft and 1 cubic foot is equal to 7.5 gallons, how many gallons of water will it take to fill the trough half way?
135 gallons
What is the formula for surface area of a cylinder?
SA = 2𝝅r2 + 2𝝅rh
The lateral surface of a poster tube is made of cardboard, and the top and bottom are made of plastic. If the tube has a height of 24 inches and a diameter of 5 inches, find the number of square inches of cardboard and the number of square inches of plastic needed for 500 poster tubes. Use 3.14 for π.
188,400 in2 of cardboard and 19,625 in2 of plastic
A cylinder that is 2 meters tall has a diameter of 2 meters. A cube has sides that are each 2 meters long. Which figure has the greater volume? How much greater? Use 3.14 for π
The cube has a volume that is about 1.72 m3 greater than the cylinder.