# Space diagonal + Pythagorean theorem - math problems

#### Number of problems found: 61

- Space diagonal

The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube. - Cube diagonal

Determine the length of the cube diagonal with edge 37 mm. - Body diagonal

Calculate the length of the body diagonal of the 6cm cube. - Height of the room

Given the floor area of a room as 24 feet by 48 feet and space diagonal of a room as 56 feet. Can you find the height of the room? - Body diagonal

Find the cube surface if its body diagonal has a size of 6 cm. - Find diagonal

Find the length of the diagonal of a cuboid with length=20m width=25m height=150m - Body diagonal

Calculate the volume and surface of the cube if the body diagonal measures 10 dm. - Body diagonal

Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal. - Space diagonal angles

Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD. - Body diagonal - cube

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

Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm. - Cuboid

Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm^{3}. Calculate the length of the other edges. - Box

Calculate the angle between box base 9 x 14 and body diagonal length 18. - Body diagonal

The cuboid has a volume of 32 cm^{3}. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Body diagonal

Find the length of the body diagonal of a cuboid with lengths of 16 cm, 7 cm, and 4 cm. - Cube cut

The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '. - Diagonal

Determine the dimensions of the cuboid, if diagonal long 53 dm has an angle with one edge 42° and with another edge 64°. - Nice prism

Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Body diagonal

Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base, - Cube diagonals

The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.

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