Surface Area Calculation Problems for Solid Shapes. - page 16 of 53
Number of problems found: 1046
- 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 - Gutter metal calculation
Gutters have the shape of a half-cylinder. Their diameter is 20 cm, and the total length around the roof is 35 m. How much is sheet metal needed to make them? Add 15% to the connections. - 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. - Sheets into container
How many sheets need to be closed on the block-shaped container above), which is 4 m wide, 250 cm long, and 35 dm high? How many liters of water can fit in it? - 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 - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Pyramid planting
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - Lump sugar
Cubed sugar in a 1 kg package is in a box with 20 cm, 12 cm, and 5 cm dimensions. a) How many sugar cubes with dimensions 2.5 cm, 2.5 cm, and 1 cm fit in the box? b) Calculate the mass of one cube. c) How many square meters of cardboard are needed to make - Painting a hut
It is necessary to paint the exterior walls of the hut, whose layout is a rectangle of 6.16 m x 8.78 m wall height is 2.85 meters. The cottage has five rectangular windows; three have dimensions of 1.15 m x 1.32 m and two 0.45 m x 0.96 m. How many m² is n - Room dimensions
The room dimensions are 5 m and 3.5 m, and the height is 2.85 m. Paint the room (even with the ceiling). There will be two layers. Doors and windows have a total of 2.5 m². One box of paint is enough for 6 m². How many boxes of paint are needed? How much - Roof material
In the form of a pyramid with a square floor plan, the house's roof has dimensions of 12 x 12 m, at the highest point, a height of 2 m. How much roofing do we need to buy? Count on a 10% reserve. - Wooden prism painting
The kit contains wooden prisms of various shapes. One is 4-sided with the base of a rectangular trapezoid (base measures 15 cm and 27 cm), arms 16 cm and 20 cm. The other was a 3-sided prism with base dimensions a=20 cm, b=18 cm, vb=30 cm. Both prisms had - Drinking trough
A drinking trough for cattle is in the shape of a half-cylinder, 2 metres long with a diameter of 80 cm. How much sheet metal is needed to make it, given that an additional 12% of material is added for joints? - Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm3, and the space diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - Castle painting cans
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought? - A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile? - Stool cover fabric
Susan has an old stool shaped like a cube with an edge length of 80 cm. She wants to sew a new cover for it. How many square metres of fabric does she need, allowing an extra 15% for stitching and folds?
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