Surface Area Calculation Problems for Solid Shapes. - page 35 of 52
Number of problems found: 1034
- Fire tank
1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the area of water-wetted areas. - Prism surface calculation
Calculate the surface of a prism with a square base whose mantle is a rectangle with sides of 18cm and 8cm. How many solutions does the task have? List all solutions. - Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, and the edge length is 10 cm. What is the volume of the prism? - Iron ball
The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm³. - Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder. - The Scout Tent
The Scout Tent has a rectangular wooden underlay with 220 cm and 150 cm dimensions. How much canvas is needed for a 170 cm high pyramid roof? - Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times? - Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume. - Glass aquarium
How many m² of glass are needed to produce an aquarium with a bottom dimension of 70 cm x 40 cm and a height of 50 cm? - Pyramid four sides
A regular tetrahedral pyramid has a body height of 38 cm and a wall height of 42 cm. Calculate the surface area of the pyramid; the result is round to square centimeters. - Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm. - The roof of the church
The cone roof of the church has a diameter of 3 m and a height of 4 m. What is the size of the side edge of the church roof (s=?), and how many sheets of the sheet will be needed to cover the church roof? - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - Earth's surface
The greater part of the Earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land? - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16? - 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.
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