Area + area of a shape - practice problems - page 42 of 107
Number of problems found: 2129
- Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Half-cylinder 30941
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. - Outside 30931
The water barrel, 90 cm high and 60 cm wide, has no lid (upper base). How much paint do we need to paint the barrel from the outside? If 1 kg of paint is enough for 8m². - Diameter 30921
The road roller has a diameter of 1.2 m and a width of 1.8 m. How many square meters will the road level if it turns 20 times? - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm. - Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase? - Edge c
Find the edge c of the cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm². - Similarity 30821
There is a given square ABCD with a = 5.3cm. Determine the side size of a similar square if the similarity ratio k = 3cm. Calculate the area and the perimeter of the magnified square - Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Perimeter 30751
The pile of sand dumped from the car has the shape of a cone with a height of 1.4 m and a perimeter of 7.98 m. How many m³ of sand is there for the buyer if the sand density is 1,750 kg/m³? - Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - Dimensions 30651
How many tons of cement are needed to concrete two pillars 6.5 m high with a base in the shape of four squares joined into one cross of dimensions 1.2 m? 2.5 q of cement is needed for 1 cubic meter of concrete. - The square
Calculate the area and perimeter of a square with side a = 15 dm S =, O = - Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank? - Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2cm and the height of the prism h = 1 dm. - Consumption 30411
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide? - Area and perimeter of rectangle
The rectangle area is 3000 cm2, and one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle. - Calculate 30361
Calculate the volume and surface of the cylinder r = 4cm, v = 6cm. - Cylindrical 30331
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m. If the joints and waste count for 6%. - Pyramid-shaped 30191
Above the pavilion, with a square floor plan with side a = 12 m, is a pyramid-shaped roof with a height of 4.5 m. How many m² of sheet metal is needed to cover this roof?
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