Solid geometry, stereometry - page 55 of 114
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: 2265
- Consumption 4259
What is the consumption of fabric per tent: Length 250, width 180, the height of triangle 120, sides 150 (all cm). What is the volume of air in the tent? - Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Calculate 3060
Calculate the surface area of a pipe section if: outer diameter = 40 cm; length = 3m - Straightened 26861
A Mazda van with a box body with internal dimensions of 1.6 m x 3.1 m x 1.7 m (w x d x h) with a payload of 1.7 tons delivers crates with pastries. Pastry box 520: dimensions 600mm x 400mm x 200mm (l x w x h), load capacity 15 kg. Calculate: a) How many c - Four-sided prism
Find the surface area and volume of a four-sided prism high 10cm if its base is a rectangle measuring 6cm and 1.4dm. - Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, height of trapezium v = 3.7 cm and the height of the prism h = 5 cm. - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - The rotating
The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone) - Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water? - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm. - Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. base and walls are equilateral. Calculate the surface of this pyramid. - 4s pyramid
A regular tetrahedral pyramid has a base edge a=17 and a collateral edge length b=32. What is its height? - Recommended 82165
The recommended room size is 90 cubic meters. How many square meters is it? (room height is 2.5 m) - Cube-shaped 77974
How much shelf space does a cube-shaped aquarium take up if it holds 27 liters of water? - Calculate: 64984
The ABCDEFGH cube (sketch it) has a debt edge of 5 cm. Calculate: a) ABFE wall area b) Area of the ADHE wall c) the surface of the cube d) Cube volume - Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b. - Quadrilateral 6116
The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's surface if the length of the base edge is 20 dm. - Triangular 2715
Determine the volume and surface of a triangular prism with a height of 12.4 cm; the base is a right triangle with 6 cm and 8 cm. - The pot
The diameter of the pot is 38 cm. The height is 30 cm. How many liters of water can fit in the pot? - Concrete pipe
The concrete pipe is cylindrical with an inner diameter of 60 cm and an outer 67 cm. Calculate the surface of the concrete pipe if it is 10 m long.
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