Pythagorean theorem - math word problems - page 62 of 73
Number of problems found: 1452
- Cone side calculation
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Cube dimension calculation
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals. - Cone surface volume
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm. - 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. - Pyramid measurements
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long. - Pyramid measurements The regular hexagonal pyramid has a base edge of 20 cm and a side edge of 40 cm. Calculate the height and surface of the pyramid
- Cube diagonal
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Quadrilateral prism
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane. - Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm. - Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³. - Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume? - Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume. - Square pyramid
Calculate the pyramid's volume with the side 5 cm long and with a square base, and the side base has an angle of 60 degrees. - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Tetrahedral pyramid
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges. - Calculate diagonals
Calculate the length of the solid diagonals of a prism with a rhombus base if the sizes of the base diagonals are 16 cm and 20 cm and the height of the prism is 32 cm. Calculate the size of the base edge. - Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 14 cm and one cathetus 9 cm. The height of the prism is equal to 2/9 of the base's perimeter. Calculate the surface area of the prism. - Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone? - Box wand fit
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it?
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