Surface area + area of a shape - practice problems
Number of problems found: 509
- Create 6
Create a new drink can that will double the volume of the original can used. Dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : Optio - Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Januka
Januka and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent whose walls would be made of 4 identical isosceles triangles. Their lower side is 2 m long, and the height is also 2 m. Then - A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one-fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equa - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of - A lamp
A lamp shade like that of a frustum has a height of 12 cm and an upper and lower diameter of 10 cm and 20 cm. What area of materials is required to cover the curved surface of the frustum? - Saria
Saria is wrapping a gift for her mother. The gift box is in the shape of a rectangular prism and is 5 centimeters high, 25 centimeters long, and 40 centimeters wide. How much wrapping paper will you need to wrap the gift box? - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - Calculate 397
Calculate the surface of a spire with a base in the shape of a rectangle with dimensions of 5m and 6m. The height of the spire is 7m. - The area 4
The area of a 2 dm high cylinder with a diameter of 1 dm equals how much dm²? - A piece 7
A piece of dry ice is in the shape of a cube with edge lengths of 7cm. Find the surface area of the dry ice. - A rectangular prism
A gift box in the shape of a rectangular prism measures 8 by 10 inches. What is the least amount of wrapping paper needed to wrap the gift box? Explain. What is the surface area of the gift box? - Half-sphere roof
The roof above the castle tower has the shape of a 12.8 m diameter half-sphere. What is this roof's cost if the cost of 1 square meter is 12 euros and 40 cents? - Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank? - Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Create 44531
We make a box in the shape of a cube with an edge of 12 cm. How many cm² of sheet metal do we need to create a box if we do not make the lid? - Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm? - The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many can full liters of water be poured maximally into the container?
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