Solid geometry, stereometry - page 75 of 123
Number of problems found: 2442
- Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical? - Cube Diagonal from Perimeter
Calculate the space diagonal of a cube if the perimeter of one of its faces equals 39 centimeters. - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su - Quadrilateral prism
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane. - Totem shed fitting
The boys wanted to store their hand-made totem 5.1 m high in the block-shaped shed, which measures 4 m, 3 m, and 2 m, for the winter. Will it fit in there at all? - 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. - 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? - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Sphere - parts
Calculate the area of a spherical cap, which is part of an area with a base radius ρ = 8 cm and a height v = 4.2 cm. - Tetrapack
How high should the milk box be in the shape of a prism with base dimensions 8 cm and 7.2 cm if its volume is 1 liter? - Sphere surface
The volume of the sphere is 803.84 m³. Calculate its surface. - Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a. - Surface - formula
Of the formula, S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =? - Sphere surface
Calculate the surface of a sphere whose volume is 33.9 cm cubic. - Observatory
An observatory dome has the shape of a hemisphere with diameter d = 10 m. Calculate its surface area. - Cube triangle volume
In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG? - Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm. Its base is a right isosceles triangle with a leg length of 5 cm. - Billboard paper saving
How much m² of paper do we save if we do not glue one-third of the total area of the block-shaped billboard area with dimensions of 0.6 m, 0.7 m, and 1.4 m? - Lawn roller
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn? - Crosswise
The gift box should be tied "crosswise." How many ribbons will be needed in total if the box dimensions are 40 cm, 30 cm, 10 cm, and 50 cm of ribbon required for the bow?
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