Pythagorean theorem - math word problems - page 71 of 74
Number of problems found: 1468
- Wall and body diagonals
The block/cuboid has dimensions a = 4 cm, b = 3 cm, and c = 12 cm. Calculate the length of the wall and space diagonals. - 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? - Rectangular base pyramid
The pyramid has a rectangular base of 2.8 m and 1.4 m and a height of 2.5 meters. Calculate an area of the shell of the pyramid. - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12 cm and pyramid height h = 20 cm. - Slant height
Find the cone's volume. The cone's slant height is 5 cm, and the radius of its base is 3 cm. - Right triangle prism
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - 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? - Diagonal of a cube
Calculate the volume of a cube with a face diagonal of u = 20 cm. - 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? - Pyramid surface
A pyramid has a square base with an edge length of 6 cm and a height of 6 cm. Calculate its surface area. - Pyramid surface
Calculate the surface of a 3.5 m high quadrilateral pyramid with a rectangular base with dimensions of 3 m and 1.8 m. - Regular quadrilateral pyramid What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
- 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. - Cone volume surface
Height 9 cm diameter 24 cm cone - calculate its volume and surface. - 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? - Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula. - Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. The base and walls are equilateral. Calculate the surface of this pyramid. - Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm.
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