Solid geometry, stereometry - page 63 of 121
Number of problems found: 2410
- Triangular Prism Volume
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Truncated cone 3
The surface of the truncated rotating cone S = 7697 meters square, the substructure diameter is 56m and 42m, and the height of the tang is found. - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Prism
Calculate the height of the prism having a surface area of 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters? - Ruler case
A cylinder-shaped case is to be made for a ruler with the shape of a prism with a base in the shape of an equilateral triangle with a side length of 3 cm. What must be the smallest inner diameter of the housing? Determine the size to the nearest tenth of - Water in aquarium
The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water. - Pyramid
The pyramid has a base rectangle with a = 6cm and b = 8cm. The side edges are the same, and their length is 12.5 cm. Calculate the surface of the pyramid. - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained to him that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 meters long, 2 meters wide, and 1.5 meters high to make it easier for the builders to reach th - Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c - Insulation
A special rubber pipe protector is used to insulate the supply pipes of solar collectors. The product with the description DNa20, thickness 25 mm, 2 m, corresponds to insulation for pipes with a diameter of 20 mm with a rubber layer thickness of 25 mm, wh - Honeycomb Cell Volume
A honeycomb is made up of cells that resemble a regular hexagonal prism, with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. a) How many liters of honey are there in the whole comb if the comb consists o - From a full
From a full cylindrical glass with a diameter of 8 cm, we poured 1 deciliter of water. By how many centimeters did the water level in the glass drop? - Measuring aquarium
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Quadrilateral prism
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) - Glass cylinder height
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4dl of water. Calculate the height of the glass and its surface. - Barrel shell
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first. - Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone? - Cone surface volume
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm. - Ice cream cone
There is 0.3 dl of strawberry ice cream in the cone-shaped ice cream cone. Calculate the depth of the cornet if its circumference is 5.6 cm.
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