Triangle + surface area - practice problems - page 5 of 17
Number of problems found: 332
- Tetrahedron 5844
Calculate the surface area of a regular tetrahedron whose height is 9 cm. - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge has 4 centimeters, and the height of the sidewall is 12 centimeters. - Calculate 18843
Height 9cm diameter 24cm cone - calculate its volume and surface.
- Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm. - Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm. - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Triangular prism
Calculate the surface of a triangular prism 10 cm high, the base of which is a triangle with sides of 6 cm, 8 cm, and 8 cm
- Isosceles 3551
Jan and her father were going to the tent. They found that their old tent is torn. Their mother suggested that they sew a tent whose walls would be made up of six identical isosceles triangles. Their lower side is 2 m long, and the height to this side mea - Spherical cap
What is the surface area of a spherical cap, the base diameter 23 m, and height 3 m? - Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Four-sided 5917
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 8m and a side edge length of 15m. How many m² of roofing will he have to buy? - 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.
- Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm². - Centimeters 6583
Calculate how much we will pay for the paper to cover the box in the shape of a three-sided prism with the base of a right-angled triangle; if the overhangs measure 12 cm and 1.6 decimeters, the hypotenuse measures 200 millimeters, the box is 27 centimete - A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm. - Perimeter 83259
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 1m² costs €1.5, a 12% loss due to joints and folds is included in the area. - Perpendicular 68194
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin
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