# Practice problems of the space diagonal - page 5 of 6

Space diagonal (also interior diagonal or body diagonal) of a polyhedron (i.e. prism, cube or rectangular cuboid) is a line connecting two vertices that are not on the same face. Space diagonals contrast with face diagonals, which connect vertices on the same face (but not on the same edge) as each other.#### Number of problems found: 112

- Circumference 5487

Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Centimeters 4091

Calculate the length of the body diagonal of a block whose two edges are 2 cm and 7 cm long and whose volume is equal to 49 cubic centimeters. - Dimensions 3950

Calculate the solid diagonal of a block whose dimensions are: a = 3cm, b = 5, c = 7cm. Find its volume as well. - Cuboidal room

The length of the cuboidal room is 2m the breadth of the cuboidal room is 3m and height is 6m find the length of the longest rod that can be fitted in the room - 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

The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals. - Body diagonal - cube

Calculate the surface and cube volume with a body diagonal 15 cm long. - Calculate 64654

Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Rectangular 36111

Calculate if a rectangular image with dimensions of 33cm and 70cm fits in a suitcase with 65cm, 40cm, and 20cm. Make a sketch, and write it down as a word problem. - Diagonals 7084

Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm. - 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? - 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.

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