Practice problems of the prism - page 6 of 26
A prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. Prisms are named for their bases, so a prism with a pentagonal base is called a pentagonal prism.Number of problems found: 520
- Quarter-liter 3380
A container has the shape of a regular hexagonal prism with a base with a capacity of 0.5dm2, which three quarter-liter cups of water fill to the brim. What is the height of a container? - Perpendiculars 2756
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm. - Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus which diagonals of 12cm and 18cm and prism height are 10 cm. - The regular
The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms; the height of the prism is 24 cm. Calculate its volume. - The trench
Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid. The top width is 3 meters, the lower width is 1.8 m, the excavation depth is 1 m, and the length is 20 m. - Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, the prism height 1,500 mm. - Triangular prism - regular
The regular triangular prism is 7 cm high. Its base is an equilateral triangle whose height is 3 cm. Calculate the surface and volume of this prism. - Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l). - Vertical prism
The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle, if its sides are a=3cm, b=4cm, c=5cm and the height of the prism is v=12cm. - Dimensions 18833
The 4-sided prism has a volume of 648 cubic cm. The trapezoid, its base, has the dimensions a-10cm, c-8cm, h-6cm. Calculate the height of the prism - Square 8420
How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter? - Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Calculate 6178
Calculate the plastic area of a 5-sided prism if the surface of the prism is 258 cm2, and one base has an area of 64.6 cm². Enter the result in the form of the decimal number in cm². - Prism height
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. The volume of the prism is 58 cm³. Calculate its surface. - Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm. - Cantilevers 81937
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Triangular 24091
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate the height of the prism.
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