Pythagorean theorem - math word problems - page 69 of 73
Number of problems found: 1446
- Concrete block
Determine the volume of the concrete block whose one edge of the base is 3 meters long, the body diagonal is 13 meters, and the height is 12 meters. - Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm. - Cube - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base. - Quadrilateral 39633
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Vector
Calculate the length of the vector v&; 8407; = (0.75, 5.5, 7.25, 1.25). - Calculate 44541
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm. - Hexagonal 6424
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm. - Circumference 4002
Calculate the diagonal of the cube, with the circumference of one of its walls being 48 cm. Then, determine its surface and volume. - Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm - An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter. - The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid. - Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height? - 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? - 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. - Slant height
Find the cone's volume. The cone's slant height is 5cm, and the radius of its base is 3cm. - A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R? - Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly? - Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm. - Hexa prism
Determine the volume of the hex prism with a 4 cm edge base and a 28 cm body height.
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