Diagonal - math word problems - page 27 of 28
Number of problems found: 553
- 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. - Block measurements
Calculate the solid diagonal of a block whose dimensions are: a = 3 cm, b = 5, c = 7 cm. Find its volume as well. - 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. - Block diagonal
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. - 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. - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length. - 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. - 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? - Sphere area
A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere.
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