Space diagonal - high school - practice problems - last page
Number of problems found: 50
- Sphere vs cube
How much % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism? - Wall and body diagonals
Calculate the lengths of the wall and body diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube.
- 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? - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
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