# Solid geometry, stereometry - page 3 of 116

Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves 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.

#### Number of problems found: 2318

- Slant height 3

The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height. - The cuboid 2

If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - A cone 3

A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - Cuboid - sum of edges length

Calculate the cuboid's dimensions if the sum of its edges is 19 cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².

- A conical

A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent. - A cone 4

A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - Perfect square or cube

Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Ones cube

Find the volume of a cube whose total surface area is 6 m². - Plasticine cuboid

Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?

- Tent - spherical cap

I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Scale model

In a model train set, 1.38 inches represents one foot in real life. The height of One World Trade Center in New York City is 1776 feet. How tall would a scale model of the building be? Should you calculate 1776 x 1.38 or 1776 ÷ 1.38? - Iron ball 2

What is the mass of the iron ball with a diameter of 1,0 dm? The density of iron is 7870 kg/m³. . - Dimensions 83620

The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm. - Telegraph 83610

How much wood was used to make 200 telegraph poles 6 m high and 15 cm in diameter

- Dimensions: 82706

The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805cm, width 525cm, and length 15m. The third cube-shaped part is 7m wide. What is the total volume of the building in cubic meters? - Shaped 82232

How many cubes with an edge of 0.2 dm fit into a box that is also shaped like a cube with an edge of 10 cm? - Foundations 82009

The house has foundations of 12x8m. How many cubic meters of gravel do we need if we want to fill it to a depth of 10 cm? - Diameter 81983

A garden barrel 1 m high has a base with a diameter of 80 cm. How many liters of water can fit in a barrel? - Calculate 81947

Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³.

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