Pythagorean theorem - high school - practice problems - last page
Number of problems found: 600
- Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - 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? - Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long? - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm.
- Perpendicular 3482
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. - 4s pyramid
A regular tetrahedral pyramid has a base edge a=17 and a collateral edge length b=32. What is its height? - Wall and body diagonals
Calculate the lengths of the wall and body diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - 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?
- Rectangular 46201
Calculate the pyramid's surface with a rectangular base measuring 9cm and 4cm, and 6cm high. - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - Tetrahedron 46451
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm. - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Three faces of a cuboid
The diagonal of the three faces of a cuboid are 13,√281, and 20 units. Then the total surface area of the cuboid is.
- Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the volume of the pyramid. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Cube - angles
Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and the cube base. - The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm.
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