Solid geometry, stereometry - page 73 of 123
Number of problems found: 2441
- Sphere equation
Find the equation of a sphere whose centre lies on the line defined by 3x + 2z = 0 and 4x − 5y = 0, and which passes through the points (0, −2, −4) and (2, −1, 1). - Cube diagonals
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters. - Wall diagonal
Calculate the length of the face diagonal of the cube, whose surface is 384 cm square. - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length. - Pool depth volume
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³ - Prism height
The volume of the triangular prism is 200 dm3, and the base is a triangle with a side of 10 dm and a corresponding height of 5 dm. Calculate the height of the prism. - Edge c
Find the edge c of the cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm². - Perimeter of base
The circumference of the base of the rotating cylinder is the same as its height. What is the diameter and height of this cylinder with a volume of 1 liter? - Cylinder Bottom Diameter
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder. - Glass label paper
We want to stick labels on the glasses. The labels stick right around the glass. The diameter of the cup is 6 cm. The height of the label is 10 cm. a) How many labels will we make from 30 x 40 cm paper? b) How many papers of this size will we use to make - Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr - Room brick calculation
Calculate how many bricks we will need to build a room that should be 1.8 m wide, 2 m long, and 2.4 m high. The dimensions of the brick are 25 cm x 60 cm. - Hexagonal prism
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double) - Pool coating
How many tiles 20 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 75 m × 10 m if the pool can fit up to 1402500 liters of water? - Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area. - The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house? - Cube Diagonals Lengths
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm.
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