Solid geometry, stereometry - page 82 of 120
Number of problems found: 2399
- 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 - Dimensions of a fabric
How many m² of fabric is needed to make a tent of a regular 3-sided prism if it is necessary to count on a 2% reserve of fabric? Dimensions - 2m 1.6m and height 1.4m - Cantilevers 81937
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? - A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume. - 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. - Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals.
- Calculate 82700
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume. - Measuring 65374
Calculate the length of the body diagonal of a block measuring 6 cm, 7 cm, and 10 cm, and round the result to two decimal places. - Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface. - Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height is equal to the base's diameter. - Calculate 2548
Calculate the volume of a wooden box in the shape of a prism with the base of a rectangle if the box's width is 8 dm, the length is 14 dm, and the size of the body diagonal is 25 dm. - A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Quadrangular pyramid
The decorative object has a quadrangular pyramid shape. Its base edge is 0.7 dm, and its side edge is 1.4 dm long. Calculate its height. - Volume from surface area
What is the volume of the cube whose surface area is 96 cm²?
- Quadrilateral 21523
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm. - 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. - Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m. - Calculate 66254
Calculate the volume and surface of a regular hexagonal prism with a height v = 2cm and a base edge a = 8cm. - Difference 64924
We get a block if we stack two cubes with an edge of 1dm. What is the difference between the surfaces of this block and the cube?
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