Area of Right triangle Problems - page 31 of 44
Number of problems found: 861
- Tower
The roof of the tower is a regular hexagonal pyramid with a base edge 5.7 meters long and a height 7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 4% of metal for waste. - Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - Cone A2V
The lateral surface of a cone, when unrolled flat, forms a circular sector with a central angle of 126° and an area of 415 cm². Calculate the volume of the cone. - Tetrahedral pyramid 8
Let all the side edges of the tetrahedral pyramid ABCDV be equally long and its base let us be a rectangle. Find its volume if you know the deviations A=52° B=56° between the planes of adjacent sidewalls and the base plane. The height of the pyramid is h= - Equilateral shell
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500 kg/m³? - Small tower 2 A small tower has a square floor plan with a side length of 5 m. The tower's roof has the shape of a regular quadrilateral pyramid (without the base) with a height of 8 m. During renovation, the roof will be covered with new tiles. 11 tiles are used per 1
- Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - Pyramid Tent Canvas Area
The pyramid-shaped tent has a square base with a side size of 2.2 m and a height of 1.8 m. How many square meters of tent canvas are needed to make it if we count an extra five percent for the foundation? - Pyramid roof
How many m² of the galvanized sheet is used to cover the roof of the tower, which has the shape of a four-sided pyramid, whose base edge is 6 m long? The height of the tower is 9 m. When covering, is 5% metal waste expected? - Tent
A pyramid-shaped tent has a base square with a side length of 2 m and a height of 1.7 m. How many meters of canvas is needed to make it if we should add 10% for waste? - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees. - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Spherical sector
The spherical sector has axial section has an angle of α = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the surface of this spherical sector. - 9-sided pyramid
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm - Roof material calculation
How much sheet is needed for a roof with the shape of a regular quadrilateral pyramid if its edge is 2.8 m long and the height of the roof is 0.8 m? Calculate 10% for the overlap (extra). - Roof material calculation
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof. - The diagram 2
The diagram shows a cone with a slant height of 10.5 cm. If the curved surface area of the cone is 115.5 cm². Calculate to correct three significant figures: *Base Radius *Height *Volume of the cone - Dimensions of a fabric
How many m² of fabric is needed to make a tent of a regular 3-sided prism if it is necessary to count on a 2% reserve of fabric? Dimensions - 2 m 1.6 m and height 1.4 m - Horizontal watertank
We have a horizontal tank shaped like a rainwater cylinder, 3.45 m long and 1.7 m wide. Calculate how many liters of water is in first centimeters.
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