Surface Area Calculation Problems for Solid Shapes. - page 26 of 52
Number of problems found: 1023
- Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid.
- Centimeters - block
The surface of the block is 4596 square centimeters. Its sides are in a ratio of 2:5:4. Calculate the volume of this block.
- Concrete pipe
How much will it cost to cover a 6 m long concrete pipe with an outer radius of 1.5 m and an inner radius of 0.8 meters if one m² paint costs 24 €?
- Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface?
- Cross-section 81879
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought?
- Centimeters 81623
The warehouse has the shape of a cuboid with dimensions: length of 50 meters, width of 600 decimeters, and height of 300 centimeters. Calculate how much it will cost to paint a windowless room with a door 150 centimeters wide and 200 centimeters high (the
- GP - edge lengths
The block edge lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block.
- Diameter 43971
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn?
- Calculate 32133
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals.
- Calculate 30961
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm.
- Cylindrical 30331
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m if the joints and waste count for 6%.
- Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm.
- Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long.
- Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material.
- Cylinder-shaped 3009
The municipality collects a fee of CZK 500 for 1 m of square billboard space. How much will he earn if he rents a cylinder-shaped column with a diameter of 2 m and a height of 3 m to stick posters?
- Block-shaped 13531
The sheet of wrapping paper measures 100cm and 70cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm?
- Circumference 27581
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume.
- Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area.
- Tower roof
The tower's roof is a regular 4-sided pyramid with a height of 4m and an edge of the base of 6m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof?
- Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid.
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