Surface Area Calculation Problems for Solid Shapes. - page 36 of 52
Number of problems found: 1027
- Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface. - Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm. - Physics - pressure
Find the pressure exerted by a crawler tractor of mass 30 t standing on a flat road if the area of the belts' contact surface with the ground is 6 m square. - Water reservoir
What is the weight of a metal reservoir - cylinder with a diameter of 2 m and a length of 8 m if 1 m² of sheet metal weighs 100 kg? - Three-sided prism
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Metal barrel
A barrel for transporting fuel has a height of 90 cm and a radius of the base of 30 cm. How many square meters of sheet metal are needed to make a barrel? - Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long. - Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Right prism
The base of the right prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism. - Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm. - The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container? - Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm. - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Rotation
The right triangle with legs 11 cm and 18 cm rotates around the longer leg. Calculate the volume and surface area of the formed cone. - Cubes
Surfaces of cubes, one of which has an edge of 42 cm shorter than the other, differ by 16128 cm². Determine the length of the edges of these cubes. - Dimensions: 27511
Calculate the surface of the paper cylinder (without lid), which has the following dimensions: bottom radius: 7 cm, cylinder height: 22 cm. - Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume.
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