Right triangle + space diagonal - practice problems - page 4 of 5
Number of problems found: 89
- 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. - Concrete block
Determine the volume of the concrete block whose one edge of the base has a length of 3 meters, body diagonal is 13 meters, and height is 12 meters. - Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
- Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Calculate 64654
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface? - The glass
The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cu - Faces diagonals
If a cuboid's diagonals are x, y, and z (wall diagonals or three faces), find the cuboid volume. Solve for x=1.3, y=1, z=1.2
- Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - Body diagonal
Calculate the length of the body diagonal of the 6cm cube. - Diagonal
Determine the dimensions of the cuboid if diagonal long 60 dm has an angle with one edge 35° and with another edge 77°. - Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid? - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c has dimensions in the ratio of 7:8:10. If you know that the diagonal wall AC is 56 cm, and the angle between AC and space diagonal AG is 25 degrees.
- 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 - 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. - 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 - Tetrahedral pyramid
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges. - ABCDEFGH 82499
In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG?
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