Pythagorean theorem - math word problems - page 67 of 74
Number of problems found: 1468
- Cube - angles
Calculate the angle alpha (α) between the face diagonal and the base of a cube. Calculate the angle beta (β) between the space diagonal and the base of the cube. - Cube small diagonal
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and space diagonals. - Cone volume surface
Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm. - Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Pyramid height calculation
In a regular quadrilateral pyramid, the base edge a = 6 cm, and the side edge b = 10 cm. Calculate the height of the pyramid. - Wall height
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm. - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12 cm. - The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and space diagonal. - Quadrangular pyramid
Given is a regular quadrilateral pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area. - Cube measurements
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters. - Quadrangular prism
Calculate the volume and surface area of a regular quadrilateral prism 35 cm high and the base diagonal 22 cm. - Truncated cone 5
The height of a cone is 7 cm, the length of a side is 10 cm, and the lower radius is 3 cm. What could be the possible answer for the upper radius of a truncated cone? - Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid. - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Pyramid 4sides
Calculate the volume and the surface of a regular quadrilateral pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm. - Cone surface
Calculate the surface and volume of the rotating cone, whose base circumference is 125.6 cm and the side is 25 cm long. - Concrete block
Determine the volume of the concrete block whose one edge of the base is 3 meters long, the body diagonal is 13 meters, and the height is 12 meters. - Triangular prism
Determine the volume and surface of a 9 cm high triangular prism if its base is an equilateral triangle with an 8 cm side.
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