# Solid geometry, stereometry - page 14

Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry deals with the measurements of volumes of various solid figures (three-dimensional figures) including pyramids, prisms and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.

- Rainfall

The annual average rainfall in India was in Cherrapunji in the year 1981 26 461 mm. How many hectoliters of water fell on 1 m^{2}? Would fit this amount of water into a cube of three meters? - Cremons

The freight wagon is shaped like cuboid 21m and 3.5m and 4.2m How many cremons can be loaded if one is a cube with an edge length of 7 cm? - Cube surface area

Wall of cube has content area 99 cm square. What is the surface of the cube? - Tank diameter

A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter. - Sphere radius

The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm. - Cuboid box

Cuboid box have dimensions of 30 cm, 25 cm and 40 cm. Sketch its network and compute surface area of box. - Volume increase

How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - Cylindrical tank

Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder. - Cube 1-2-3

Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm. - Three cubes

The body was created by gluing three identical cubes. Its volume is 192 cm^{3.}What is its surface in dm^{2}? - Volume and area

What is the volume of a cube which has area of 361 cm^{2}? - Cuboids

Two separate cuboids with different orientation in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633) - Two cuboids

Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm - Scale factor

A prism with a volume of 1458 mm^{3}is scaled down to a volume of 16mm^{3.}What is the scale factor in fraction form? - Ratio

The radii of two cones are in the ratio 5.7 Calculate the area ratio if cones have same height. - Water block

A block with a 50 cm^{2}base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water? - Volume of cube

Solve the volume of a cube with width 26cm . - Surface of cubes

Peter molded a cuboid 2 cm, 4cm, 9cm of plasticine. Then the plasticine split into two parts in a ratio 1:8. From each part made a cube. In what ratio are the surfaces of these cubes? - Volume and body diagonal

Calculate how much the volume and body diagonal of the cuboid decrease if we reduce each of its three edges a, b, c by 18%? - How much

How much money will we pay for 20 planks 4m long, 15cm wide and 26mm thick when 1m³ of wood costs 4500kč?

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