Diagonal + triangle - practice problems - page 20 of 21
Number of problems found: 414
- 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? - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - 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? - Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it? - Image suitcase fitting
Calculate if a rectangular image with dimensions of 33 cm and 70 cm fits in a suitcase with 65 cm, 40 cm, and 20 cm. Make a sketch, and write it down as a word problem. - Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height? - Body diagonal
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm. - 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? - A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R? - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm. - Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube? - Cube wall diagonal
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Surface and volume - cube
Find the surface and volume of a cube whose face diagonal is 5 cm long. - Inscribed circle
A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base? - Vector
Calculate the length of the vector v = (2.5, -0.25, -3.75, -2.25). - Find diagonal
Find the diagonal length of a cuboid with length=20 m, width=25 m, and height=150 m. - The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block. - Wall and body diagonals
Calculate the lengths of the wall and space diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m - Block diagonal
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal.
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