Solid geometry, stereometry - page 69 of 121
Number of problems found: 2409
- Wall height
Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm. - Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.7 m. Determine the bottom dimensions where one dimension is 2.2 m longer than the second. - Truck bed
Calculate how many trucks can transport grain from the combine hopper, which is a quadrilateral with a rhombus base with sides of 13dm and 2.8m and a height of 200 cm to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with sides of - Corresponding 83227
The 4m high column is a prism with a rhombus figure with an edge 80cm long and a corresponding height of 70cm. It is built of bricks. How many bricks are needed to build it if one brick has a volume of 1.4 cubic decimeters? - Diameter 44511
The tower's roof is a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover it? - Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Calculate 26991
How can you calculate the wall height of a pyramid when you know the base edge length is 28 mm and the body height is 42 mm? - Regular hexagonal prism
Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long. - Dimensions 13671
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³? - Calculate 7653
The block volume is 900 cm3, and the surface is 600 cm². The area of one wall is 60 cm². Calculate the length of edges a, b, and c. - Quadrilateral 6138
What is the tent's height in the shape of a regular quadrilateral pyramid, whose volume is three dm³ and the base has an area of 6 dm²? - Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid. - Wall height
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm. - A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell. - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2. - 3sides prism
The base of a vertical prism is an isosceles triangle whose base is 10 cm, and the arm is 13 cm long. The prism height is three times the height of the base triangle. Calculate the surface area of the prism. - Milk cartons
How much paper do we need for 12 tetra packs with 6 cm, 11 cm, and 20 cm dimensions? Will 1 liter of milk fit in the box? - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Rotatable tower
The rotatable tower situated in the city center has the ground shape of a regular polygon. If the tower is rotated by 18° around its centerpiece, it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view - Calculate 82459
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³
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