Surface Area Calculation Problems for Solid Shapes. - page 23 of 52
Number of problems found: 1026
- Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm.
- Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.
- Dimensions 16493
How many square meters of material is needed to make two identical blocks with dimensions of 6 dm, 8 dm, and 12 dm if we count 8% of the material for folds? (Round to two decimal places. )
- Cleaning the pool
The swimming pool is 25 m long, 12 m wide, and 2 m deep. The walls and bottom of the pool require regular cleaning. The company that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool?
- Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
- Dimensions 3985
The block of goods has dimensions of 2.5 m, 4.2 m, and a height of 180 cm. It is filled to two-thirds of the volume. How many hectoliters of water are in it? How many m² of the tank is soaked with water?
- Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals.
- Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³.
- Four-sided turret
The turret has the shape of a regular four-sided pyramid with a base edge 0.8 m long. The height of the turret is 1.2 m. How many square meters are needed to cover it, counting the extra 10% sheet metal waste?
- A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo
- Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume.
- Calculate 32513
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume
- Calculate 5789
Calculate the volume and surface of the rotating cone with the base radius r = 4.6dm and the height v = 230mm.
- Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%?
- Prism
Calculate the height of the prism having a surface area of 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters?
- Water in aquarium
The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water.
- Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume.
- Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters?
- Bottom 3129
How many m² tiles do we need to line the walls and bottom of the pool in the shape of a block 25 m long, 10 m wide, and 180 cm deep?
- Observation tower
The observation tower is covered with a roof in the shape of a regular quadrangular pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² do you need to buy?
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