Surface Area Calculation Problems for Solid Shapes. - page 14 of 53
Number of problems found: 1047
- Paper box
Calculate how much we'll pay for a three-sided shaped prism box with a triangular base, and if it measures 12 cm and 1.6 dm, the hypotenuse measures 200 mm. The box is 34 cm high. We pay 0,13 € per square meter of paper. - House Insulation Cost
The Drapers inherited a cube-shaped house from their grandmother, which occupied 121 m² of land. They want to insulate the perimeter walls. How many euros will they pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist - Paint for Hexagonal Pool
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m². - Four sided prism
Calculate the volume and surface area of a regular quadrilateral prism whose height is 28.6 cm, and the diagonal body forms a 50-degree angle with the base plane. - The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (The cone side is the segment joining the vertex cone with any point of the base circle. All sides - Pool tiles
The pool is 25 m long, 10 m wide, and 160 cm deep. How many m² of tiles will be needed on the walls and the bottom of the pool? How many tiles are needed when one tile has a square shape with a 20 cm side? How much does it cost when 1 m² of tiles costs 25 - Observation tower
An observation tower is covered with a roof in the shape of a regular quadrilateral pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² of new roofing material need to be bought? - Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6 m, the length is 9 m, and the s - Tower roof
The tower's roof is a regular 4-sided pyramid with a height of 4 m and an edge of the base of 6 m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof? - Tank painting calculation
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t - Gutter pipe material
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding? - Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°. - Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm? - Tower
The roof of the tower is a regular hexagonal pyramid with a base edge 5.7 meters long and a height 7 meters. How many m² of the sheet is required to cover the top of the tower? We must add 4% of metal for waste. - Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - Cone A2V
The lateral surface of a cone, when unrolled flat, forms a circular sector with a central angle of 126° and an area of 415 cm². Calculate the volume of the cone. - Popcorn bag comparison
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm. - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and whose body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls. - Cardboard - boxes
The closed cardboard box has the shape of a block measuring 25 cm, 1.2 dm, and 0.5 m. How much cardboard is needed to make 20 such boxes? You need to add 5% to bends. - Small tower 2
A small tower has a square floor plan with a side length of 5 m. The tower's roof has the shape of a regular quadrilateral pyramid (without the base) with a height of 8 m. During renovation, the roof will be covered with new tiles. 11 tiles are used per 1
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