Solid geometry, stereometry - page 83 of 121
Number of problems found: 2404
- Wrapping box
Will you need more paper to wrap a 2.3dm cube box or a 12 cm, 3 dm, and 8 cm cube-shaped box?
- Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8dm side.
- Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height.
- Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square.
- A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile?
- Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism?
- Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
- Diameter 33361
The roof of the castle tower has the shape of a cone with a base diameter of 12 m and a height of 8 m. How many euros will we pay to cover the roof if 1m of square roofing costs 3.5 euros?
- Three-walled 8272
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length?
- Cube-shaped 67884
The cube-shaped drawer has an area of 405 dm square. Calculate the volume of this drawer.
- The cube
The surface of the cube is 150 square centimeters. Calculate: a- the area of its walls b - the length of its edges c - its volume
- Volume from surface area
What is the volume of the cube whose surface area is 96 cm²?
- Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume?
- Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism.
- Pass-through 5886
The round hole of the glass waste container has a diameter of 18 cm. Will a four-liter glass pass through this hole? If there are 4 liters of water in the glass, it reaches a height of 20 cm.
- Quadrilateral prism
Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated?
- Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 17 cm and u2 = 14 cm. The prism height is twice the base edge length.
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and the area of its surface is twice the area of its base. Determine the size of its body diagonal.
- Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. If we add one-third to the overlap, calculate how many m² of coverage is needed to cover it.
- Regular 4-sided pyramid
Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m.
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