Pythagorean theorem - math word problems - page 50 of 74
Number of problems found: 1468
- Carnival hat paper
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head perimeter is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Wire model
A wire model of a regular hexagonal prism has a base edge length of a = 8 cm and a height of v = 12 cm. The solid is covered with paper — the bases with dark paper and the lateral surface with white paper. - Calculate in cm the greatest possible straight- - Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm. - Last storm - tree
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8 m and a side edge length of 15 m. How many m² of roofing will he have to bu - Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy? - Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 231 cm². - Six-sided parasol
The parasol has the shape of the shell of a regular six-sided pyramid, whose base edge is a=6 dm and height v=25 cm. How much fabric is needed to make a parasol if we count 10% for joints and waste? - Felix
Calculate how much land Felix Baumgartner saw after jumping from 36 km above the ground. The radius of the Earth is R = 6378 km. - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Perimeter of needle
The perimeter of the four-sided needle is 48 m, and its height is 2.5 m; how much will the sheet metal for this pyramid cost? If 1 m² costs €1.5, a 12% loss due to joints and folds is included in the area. - Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6 - Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Quadrilateral pyramid
The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place. - Quadrilateral oblique prism
What is the volume of a quadrilateral oblique prism with base edges of length a = 1 m, b = 1.1 m, c = 1.2 m, d = 0.7 m if a side edge of length h = 3.9 m has a deviation from the base of 20° 35' and the edges a, b form an angle of 50.5°? - Big Earth
What percentage of the Earth's surface is seen by an astronaut from a height of h = 350 km? Take the Earth as a sphere with a radius R = 6370 km. - Four-sided turret
The turret has the shape of a regular four-sided pyramid with a base edge 0.8 m long. The height of the turret is 1.2 m. How many square meters are needed to cover it, counting the extra 10% sheet metal waste? - Pyramid-shaped roof
A block-shaped shed is covered with a quadrilateral pyramid-shaped roof with a base with sides of 6 m and 3 m and a height of 2.5 m. How many m² (square meters) must be purchased if an extra 40% is calculated for roofing and waste? - Ice cream maker
Ice cream maker Eda has invented a new cone in the shape of a regular four-sided pyramid, in which he will sell his ice cream. The cone will have a lateral edge length of 5 cm and a slant height of 4 cm. In order to mass-produce it in a factory, the dimen - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters. - Axial section of the cone
The axial section of the cone is an isosceles triangle in which the ratio of cone diameter to cone side is 2:3. Calculate its volume if you know its area is 314 cm square.
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