Pythagorean theorem - math word problems - page 73 of 74
Number of problems found: 1468
- Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long? - Sphere equation
Find the equation of a sphere whose centre lies on the line defined by 3x + 2z = 0 and 4x − 5y = 0, and which passes through the points (0, −2, −4) and (2, −1, 1). - 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? - 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. - The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house? - Tetrahedron surface area
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm. - 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. - Ladder
A 4 m long ladder touches the cube 1mx1 m at the wall. How high reach on the wall? - Cube edge
Calculate the size of the cube edge if the diagonal of the wall is 8 cm. - Body diagonal
Find the length of the body diagonal of a cuboid with edges lengths of 16 cm, 7 cm, and 4 cm. - Pilot
How high can the airplane's pilot see 0.001 of Earth's surface? - Cone 15
The radius of the base of a right circular cone is 14 inches, and its height is 18 inches. What is the slant height? - Cube cut
The cube ABCDA'B'C'D ' has an edge of 12 cm. Calculate the area of diagonal cut B DD'B '. - Calculate
Calculate the length of the face diagonal of a cube with an edge of 5 cm. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - A prism
A prism with an altitude of 15 cm has a base in the form of a regular octagon inscribed in a square of 10 cm x 10 cm. Find the volume of the prism.
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