Length + surface area - practice problems - page 7 of 12
Number of problems found: 227
- Quadrilateral 6542
Calculate the surface of a quadrilateral prism two dm high, the base of which is: a square with a side of 15cm. - Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig. - Company 6387
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter? - Measuring 6357
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7cm, 8cm, 6cm
- Length 6326
The cube has an area of 5400 cm². What are the length of its edge and the volume of the cube? - Deformation 6260
The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12cm and a length of l=2m. The rolled-up carpet has an outer diameter of D=38cm, and the thickness of the rug is 8mm. What area can the carpet cover after unfolding? D - Length 6235
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool? - Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste. - Surface area 6
Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch
- The room
The room has a cuboid shape with dimensions: length of 50m and width of 60dm, and height of 300cm. Calculate how much this room will cost (a floor is not painted) if the window and door area is 15% of the total area and 1m² costs 15 euros. - Connections 6133
Gutters have the shape of half a cylinder. Their diameter is 16 cm, and the total length around the roof is 32.6 m. How many m² of sheet metal are needed to make them? Add 15% for connections and cleaning. - Quadrilateral 6116
The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's surface if the length of the base edge is 20 dm. - Right-angled 6034
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Corresponding 6021
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.
- Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Four-sided 5917
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8m and a side edge length of 15m. How many m² of roofing will he have to buy? - Calculate 5873
Calculate the surface area and volume of a large granite paving block with an edge length of 10 cm and a small cube with an edge length of 5 cm. Compare the results. - Rectangular 5798
The pyramid has a rectangular base with dimensions a = 5cm, b = 6cm. The side edges are identical; their length is h = 11cm. Calculate the surface of the pyramid. - Calculate 5789
Calculate the volume and surface of the rotating cone with the base radius r = 4.6dm and the height v = 230mm.
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