Pythagorean theorem + space diagonal - practice problems - last page
Number of problems found: 99
- Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room? - Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm. - Center of the cube
The Center of the cube has a distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube. - Calculate 24201
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm.
- Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface? - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - Find diagonal
Find the diagonal length of a cuboid with length=20m, width=25m, and height=150m. - Body diagonal
Find the length of the body diagonal of a cuboid with edges lengths of 16 cm, 7 cm, and 4 cm. - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube.
- Box
Calculate the angle between box base 9 x 14 and body diagonal length 18. - Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Body diagonal
Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Cube cut
The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
- Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm. - Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - Calculate 4694
Calculate the length of the body diagonal in a cube of 15 cm. - Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72? - Body diagonal
Calculate the length of the body diagonal of the 6cm cube.
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