Surface Area Calculation Problems for Solid Shapes. - page 27 of 53
Number of problems found: 1047
- Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume. - Cube edge surface
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Side deviation
A frustum has base radii r₁ and r₂ where r₁ > r₂, r₂ = s, and the slant side makes an angle of 60° with the base plane. Express the surface area and volume of the frustum in terms of its slant height s. - How to
How can the total surface of a rectangular pyramid be found if each face is 8 dm high and the base is 10 dm by 6 dm? - Pyramid volume surface
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27 m3 - Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - Metal sheet
Calculate how much sheet metal is needed to make a closed block-shaped container with dimensions of 2 m, 7 m, and 9 m if we must add 12% to the welds. - 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. - Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume. - Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)? - Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays. - Block volume calculation
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume. - 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? - Quadrilateral pyramid
The regular quadrilateral pyramid has a base perimeter of 44 cm and a body height of 3.2 cm. Calculate its volume and surface. - Cone measurements
Calculate the volume and surface of the rotating cone with the base radius r = 4.6 dm and the height v = 230 mm. - Cube measurements
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Pyramid surface
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume. - Prism volume
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5 cm - Cone volume
The area of the rotating cone shell is 240 cm2, and the area of its base is 160 cm². Calculate the volume of this cone.
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