Surface Area Calculation Problems for Solid Shapes. - page 24 of 53
Number of problems found: 1046
- Box metal
A box is shaped like a cube with an edge of 52 cm. How many m² of sheet metal are needed to make the box with a lid? Add 5% for the folds of the lid and walls. - Cylinder surface
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm. - Block volume
The sketch shows the net of a cuboid with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - How many
How many cans of blue paint need to be bought if the interior of the garden pool, which is 5 m long, 3 m wide, and 1 m deep, is to be painted? There is 1 kg of paint in each can. One can is enough for 8 m² of area. - Cabinet painting
The cabinet for storing garden tools is shaped like a cube with an edge length of 2 m. How many m² of paint will we need to paint this cabinet if we paint everything except the bottom base? How much will it cost to paint a cabinet if one can of paint for - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area? - Pool tiles
How many m² tiles do we need to line the walls and bottom of the pool in the shape of a block 25 m long, 10 m wide, and 180 cm deep? - Pool painting
We will paint a block-shaped pool with 25 m and 15 m bottom dimensions and a depth of 3.5 m. How much € will we pay for painting if we paint twice? One kilogram of paint is enough for 5 m² of paint; we will pay €3.5 for 1 kg of paint, and we have to pay t - Oceans
The Earth's surface is approximately 510,000,000 km² and is 7/10 covered by oceans. Of which 1/2 covers the Pacific Ocean, the Atlantic Ocean 1/4, the Indian Ocean 1/5, and the Arctic Ocean 1/20. What parts of the Earth's surface cover each ocean? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder. - Axial section
The axial section of the cylinder has a diagonal 50 cm. The shell size and base surface are in the ratio 2:5. Calculate the volume and surface area of this cylinder. - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm². - Cone and the ratio
The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. Calculate the surface of the base and the lateral surface. - Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod? - Gift wrapping paper
The sheet of wrapping paper measures 100 cm and 70 cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm? - Asphalt - rolling
A road roller has a diameter of 80 cm and a width of 1.2 m. How many square metres of road does it roll if it makes twenty full rotations? - Asphalt
A tennis court can have a grass, asphalt, or clay surface. A singles court is 23.78 m long and 8.23 m wide. For doubles, a strip 1.37 m wide is added on both longer sides. By how many m² is a doubles tennis court larger than a singles court? - Glass label paper
We want to stick labels on the glasses. The labels stick right around the glass. The diameter of the cup is 6 cm. The height of the label is 10 cm. a) How many labels will we make from 30 x 40 cm paper? b) How many papers of this size will we use to make - A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface.
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