Solid geometry, stereometry - page 87 of 121
Number of problems found: 2404
- Cube edge
Determine the cube's edges when the surface is equal to 37.5 cm square.
- Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume.
- Quadrilateral 81033
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases.
- Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube.
- Calculate 32513
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume
- Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³?
- Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals.
- The rotation cone
The rotation cone with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume.
- Cube into cylinder
If we dip a wooden cube into a barrel with a 40cm radius, the water will rise 10 cm. What is the size of the cube edge?
- Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³?
- Quadrilateral 83254
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm?
- Cube-shaped 82606
The paper box is cube-shaped. 2400 cm² was used for its production. Bends for gluing the walls are omitted. What is the volume of the box?
- Casserole 72634
The casserole with a volume of V = 4.5 l has a depth of h = 10 cm. Calculate its inside diameter.
- Lengths 63174
The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block.
- Dimensions 6264
Calculate the length of the body diagonal of a block whose dimensions are a = 5cm, b = 6cm, c = 10cm.
- Millimeter 81208
A cylinder has the same diameter as its height. Calculate these data if the surface is 200 cm square. Report the results to the nearest millimeter.
- Centimeters 68084
The cube-shaped container has a surface area of 320 square centimeters without a lid. Calculate its volume.
- Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm.
- Quadrilateral 5814
Calculate the surface area and volume of a regular quadrilateral truncated pyramid if the base edges are 87 cm and 64 cm and the wall height is 49 cm.
- Determine 5629
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface.
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