Square + surface area - practice problems
Number of problems found: 417
- Find the
Find the pressure exerted by a crawler tractor of mass 30 t standing on a flat road if the area of the contact surface of the belts with the ground is 6 m square. - Diver
Please calculate using Pascal's law. The window of the diving helmet has a surface area of about 7dm². Calculate what pressure force acts on the window at a depth of 20 meters below the water surface. - Horizontal 6365
The tank's weight is 36 t, and the total contact area of the belts with the ground is 4 square meters. What pressure does the tank cause on a horizontal surface? - Tiler
On what surface m² tiler must lay 30 square tiles, each of which has a side 25 cm? - Cloth / textile
We have cloth measure 16 square meters. How many 20 cm by 20 cm by 8 cm bags you can make? Assume bag is a cuboid without one top base. - A photograph
A photograph will stick to a white square letter with a x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of paper and photo. - Wooden bowls
20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d - Church roof 2
The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How many monez (CZK) will cost the roof cover sheet if 1 m² of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays and waste? - Rectangular cuboid
The rectangular cuboid has a surface area 5334 cm2, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden. - Kilograms 4994
The janitor is to paint the walls of the computer room, which is 7 m long, 5 m wide and 3 m high. The classroom has four square windows with a length of 1 m and a door 1 m wide and 2 m high. At least how many kilograms of paint should he buy if 1 kg of pa - Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long and the base radius is 27 cm. a) What is the roof volume? b) How many dm² of wallpaper is used to glue the roof, ie the cone shell? c) What is the weight of the roof if it is made of woo - Cube from sphere
What largest surface area (in cm²) can have a cube that we cut out of a sphere with radius 43 cm? - Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5: 2: 4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Pool tiles
The pool is 25m long, 10m wide, and 160cm deep. How many m² of tiles will be needed on the walls and the pool? How many tiles are needed when 1 tile has a square shape with a 20cm side? How much does it cost when 1m² of tiles costs 258 Kc? - Sphere-shaped 20723
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste. Round the final result to the nearest total. - CD disc
A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters? - Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²? - Rectangular field
One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m² . Determine dimencions of the field. - The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal needs to be covered to cover it, and 15 percent must be added to the minimum amount due to joints and waste?
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