Area - math word problems - page 58 of 157
Number of problems found: 3123
- Dimensions 36001
The aquarium has the shape of a block with dimensions a = 40cm, b = 15cm, c = 30cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium.
- On the floor 2
The living room's floor area is 9 7/9 m². A carpet covering an area of 5 5/8 m² is placed on the floor. Find the area of the room that is not covered with carpet.
- Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm.
- Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface.
- Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm.
- The land
The owner wants to divide the land with dimensions of 220 m and 308 m into equally large square plots with the largest possible area. How long will one side of the plot be?
- Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste
- An architect
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the
- Hydraulic 35301
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston?
- Hydraulic 35291
The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N?
- Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m².
- Cross-section 35233
How much soil is needed to dig a 200m long ditch, the cross-section of which is a square with an area of 4812.5 cm2
- The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
- Water-wetted 35193
The block-shaped pool with dimensions of 25 m and 12.5 m and a depth of 2 m is filled with 4/5 of water. Calculate the area of water-wetted areas.
- Perpendicular 35183
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm.
- Calculate 35083
Draw an isosceles triangle ABC with a base 7 cm long and shoulders 5.5 cm long. Assemble all the heights, measure them, and calculate their sum.
- Cross-section 35063
How many m² of sheet metal are needed to plat chimneys 4 m high with a rectangular cross-section measuring 2.5 m and 1.2 m?
- Efficiency 35023
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water?
- The cube
The cube has a surface of 600 cm². What is its volume?
- Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8V.
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