Diagonal - math word problems - page 27 of 28
Number of problems found: 553
- Rotating square
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body. - 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. - Three faces of a cuboid
The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is. - 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? - Right pyramid
A right pyramid on a base 4 cm² has a slanted edge of 6 cm. Calculate the pyramid's volume. - 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. - Cube and sphere
A cube with a surface area of 150 cm² is inscribed in a sphere. What is the surface area of the sphere? - Cube diagonals
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters. - Wall diagonal
Calculate the length of the face diagonal of the cube, whose surface is 384 cm square. - Pyramid volume side
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm. - Body diagonal
Calculate the length of the space diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm. - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Cube Diagonals Lengths
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm.
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