Pythagorean theorem - math word problems - page 64 of 74
Number of problems found: 1468
- Prism surface
The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm2, and the body's height is 10 cm. Calculate the surface area of the body. - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Triangular prism
The base of a right triangular prism is a right triangle with hypotenuse 14 cm and one leg 9 cm. The height of the prism equals 2/9 of the base's perimeter. Calculate the surface area of the prism. - Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? - Prism volume surface
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. - Square pyramid
What is the surface of a regular pyramid with a square base? If each edge of the base measures 40 mm, the pyramid's height is 44 mm, and the pyramid's height is 38 mm. - Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Tent canvas
The tent with the floor has the shape of a regular quadrilateral pyramid with a base edge a = 2.4 m and a height of 1.8 m. How much canvas is needed for the tent? - Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12 cm and 18 cm diagonals and whose prism height is 10 cm. - Cone volume surface
The basic parameters of the rotating cone are: Base radius 5 cm The cone height is 12 cm, and the cone side is 13 cm. Calculate: a/volume of the cone b/cone surface - Cone calculation complete
There is a rotating cone: r = 6.8 cm s = 14.4 cm. Find the area of the cone surface S2, the height h, and the volume V. - Triangular prism
Calculate the surface of a regular triangular prism; the base's edges are 6 cm long, and the height of the prism is 15 cm. - Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. - Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12 cm and side edge b = 3 dm. - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Cube from Body Diagonal
Find the volume and surface area of a cube whose space diagonal has length u = 216 cm. - Pyramid Height Surface Area
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface. - Spherical cap
A spherical cap is placed on a cylinder of height 4.6 cm such that the area of the curved surface of the cap is 20 cm². Determine the radius r of the sphere from which the cap was cut. - Quadrangular pyramid
The regular quadrilateral pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area.
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