Area of Square Problems - page 57 of 81
Number of problems found: 1612
- Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°. - Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm. - Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm? - 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. - Office painting cost
Our office has dimensions of 5 m by 4.5 m and a height of 2.5 m. How much will it cost to paint it if a liter of paint costs €3.50 (yield 10 m²/l) and the painter asks €1.20 for the job and 1 m² painting? It will need to be painted twice. - Jared's room painting
Jared wants to paint his room. It is 12 feet by 15 feet and has walls 9 feet high. Two windows measure 6 feet by 5 feet each, and two doors measure 30 inches by 6 feet each. If a gallon of paint covers approximately 350 square feet, how many gallons will - 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? - Paint for Swimming Pool
The bottom of the pool at the family house has a rectangular shape with dimensions of 5 m and 3.5 m. Its height is 1.2 m. How many kg of acrylic paint are needed to paint the bottom and walls of the pool if 1 kg of paint is enough for 6 m²? The coating is - Volcano
The volcano's crater is approximately in the shape of a cone with a base of 3.1416 square miles. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity? - 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. - 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 - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199 cm³. Calculate the value of x.
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