Solid geometry, stereometry - page 88 of 121
Number of problems found: 2404
- Body diagonal 
 Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - Above Earth 
 To what height must a boy be raised above the earth to see one-fifth of its surface? - Millimeter  24231  
 Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter. - Total area 
 Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm. - Tereza 
 The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Workers 
 Workers are digging a jump pit in the schoolyard. The pit is cuboid in shape, with a length of 5 m, a width of 20 dm, and a depth of 36 cm. They excavate 0.4 cubic meters of soil an hour. How much time (hours and minutes) is needed to excavate this pit? - Calculate  38701  
 Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm. - Calculate  8326  
 Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Trapezoidal  4031  
 The aquarium has the shape of a prism with a trapezoidal base. The length of the basic trapezoid is 60 cm and 80 cm, and the height of the trapezoid is 70 cm. The aquarium holds 196 liters of water. How tall is the aquarium? - A capacity 
 Suppose the cylinder at the right holds a capacity of 2 205 cm³ and its base area of 105 cm². How high is the cylinder? - Body diagonal 
 Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base, - Calculate 81560 
 The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone. - Calculate  43951  
 Calculate the radius of the base of the cylinder with a volume of 10 dm³ and a height of 15 cm. - Millimeter  30041  
 Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter. - Cylinder-shaped  28531  
 The diameter of the bottom of the cylinder-shaped tank is 6 m. Its volume is 1500 m³. What is the height of the tank to about two decimal places? - Quadrilateral  14103  
 Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12cm. - Cuboid - block 
 The base of the block is a square with an area of 16 cm². The surface of the block is 128 cm². You calculate the volume of the block in cm³. - Quadrangular pyramid 
 Given is a regular quadrangular pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area. - Surface area 
 The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - Calculate  71324  
 Calculate the volume of a cube with a surface area of 1,795.74 cm2 
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