![]() The direct link between superstructure and molecular structure has been reported in many cases. Stimulated by the complexity and significance of natural helices, scientists have made great efforts to mimic this important configuration, and created novel and functional helical structures 8, 9, 10, 11, 12, 13. The double helix structure of a DNA chain is known to play crucial roles in the storage and reproduction of genetic information and is believed to be the foundation of life and modern biology 5, 6, 7. ![]() The helical conformation is one of the most representative examples, which broadly exists in biological systems, spanning from the collagen triple helix to the macroscopic seashell 1, 2, 3, 4. Nature has unique forces to create exquisite architectures from nanoscale to macroscale. This study proposes a fresh concept for designing reversible processes and brings a new perspective in crystallography. The resulting distinct nanohelices give rise to unusual structure elasticity, as reflected in the reversible change of crystal lattice parameters and the mutual transformation between the nanowires and nanohelices. The twisting force stems from competition between the condensation reaction and stacking process, different from the previously reported twisting mechanisms. Herein, we report a new reciprocal effect between molecular geometry and crystal structure which triggers a twisting-untwisting-retwisting cycle for tri-cobalt salicylate hydroxide hexahydrate. Considering the irreversibility of the previously studied twisting forces, the reverse process (untwisting) is more difficult to achieve, let alone the retwisting of the untwisted crystalline nanohelices. However, nanomaterials usually fail to twist into helical crystals. Find the height.The reversible transformation of a nanohelix is one of the most exquisite and important phenomena in nature. The line segment that has a length of 2.6 millimeters begins at the center of the hexagon and ends at one side of the hexagon. The volume of a right regular hexagonal prism is 187.2 cubic millimeters. The prism's base is a parallelogram with a side of 2,5dm and height ha = 18cm. The volume of a tetrahedral prism is 2.43 m³. v = 23 dm (body height)Ĭalculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4cm and the body height is 6cm. (base edge length and base triangle height length). ![]() Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume.Ĭalculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2cm and the height of the prism h = 1 dm.Ĭalculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm.Va = 4 dm. The base of the prism has the shape of a square with a side of 10 cm. What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. Determine the length of the base edges, the surface, and the prism's volume.įind the area of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm. The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. The height of the prism is v = 5.5 m.Ĭalculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. ![]() The height of tĬalculate the volume and surface of a triangular prism whose base is a right triangle with sides a = 3m, b = Va = 4m, and c = 5m. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. Calculate the surface area and volume of the prism. The height of the prism is 125% greater than the length of the side of the diamond. ![]() The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the trapezoid is va = 3dm.Ĭalculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm We encourage you to watch this tutorial video on this math problem: video1 video2 video3 Related math problems and questions:Ĭalculate the regular hexagonal prism's surface whose base edge a = 12cm and side edge b = 3 dm.Ĭalculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. ![]()
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