Pythagorean theorem - math word problems - page 60 of 70
Number of problems found: 1397
- Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, and the height of the tang is found.
- Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
- Vertical prism
The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism.
- Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?
- Dimensions 82592
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it?
- Measuring 65374
Calculate the length of the body diagonal of a block measuring 6 cm, 7 cm, and 10 cm, and round the result to two decimal places.
- Parameters 28521
The basic parameters of the rotating cone are: Base radius 5 cm The cone height is 12 cm, and the cone side is 13 cm. Calculate: a/volume of the cone b/cone surface
- Millimeter 24231
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter.
- Hexagonal 13891
A regular hexagonal pyramid has a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. Please sketch the picture. Please calculate the surface of a regular hexagonal pyramid.
- Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area?
- Quadrilateral 6332
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid.
- Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap).
- Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m
- Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm.
- 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?
- Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.
- Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm.
- Pile of sand
A large pile of sand has been dumped into a conical pile in a warehouse. The slant height of the pile is 20 feet. The diameter of the base of the sandpile is 31 feet. Find the volume of the pile of sand.
- Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally.
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