Surface Area Calculation Problems for Solid Shapes. - page 33 of 52
Number of problems found: 1026
- Calculate 4254
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism. - Land
The land has a rectangular shape, and its surface area is 1.45 hectares. Its width is 250 m. Determine the length of the land. - Centimeters 4081
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters. - Hip-roof
The roof consists of two isosceles trapezoids and two isosceles triangles. The roof plan is a rectangle with dimensions of 8m and 14m, and the roof ridge is 8m long. The height of the trapezoid is 5m, the height of the triangles is 4.2m. How many tiles ar - The rotation cone
The rotation cone with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume. - Dimensions - cardboard
The statements are sold in cardboard boxes – for example, the microwave oven box has dimensions of 52 cm, 32 cm, and 40 cm, and 0.4 m² of cardboard is added to the folds. How many square meters of cardboard are needed for 1,000 boxes? - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Calculate a prism Calculate the volume and surface area of a prism whose height is 16cm and whose base is a right triangle with sides of 5cm and 12cm and a hypotenuse of 13cm.
- 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. - Sphere parts, segment
A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume and surface of the segment? - Volleyball - air in ball
The radius of a volleyball is 10 cm. Calculate how many liters of air fit into an ideal inflated ball. Calculate how many square meters of leather material you need to make it. - 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. - Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area. - Seat
How much m² of fabric do we need to sew a 50cm-shaped cube-shaped seat if we add 10% of the material to the folds? - Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm². - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - 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? - Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume.
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