Unit conversion + square (second power, quadratic) - practice problems - page 9 of 23
Number of problems found: 460
- Flower bed
The park has a rectangular flower bed with dimensions of 3.2m and 1.5m. How many rose bushes will we plant in the flower bed if 20 dm² are needed for one bush? - Glass
Peter broke the window glass with sizes 110 cm and 90 cm. 1 square meter of glass costs 11 USD. How much money is needed to pay for a new glass? - Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, and then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, - Decorations 81510
The glass Christmas decorations have the shape of a ball with a diameter of 8 cm. In a small family business, they produce 50,000 pieces a year. The entire surface of these balls is covered with glitter. 400 g of glitter is needed to cover an area of 1 m²
- Square 28803
The garden is 1 cm wide and 90 km long when we turn it into a square with the same area. How long will the square be? - Interested 18803
On the map, at a scale of 1:400 m and an area of 100 cm². How much are you interested in this land? - Harvested 5984
A private farmer assumed a beet yield per hectare of x tons. He harvested an average of y tons more per hectare. How many tons of beets are harvested from 0.25 km²? - Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²? - Garden
The rectangular garden is 72 m long and 25 m wide. Calculate by how many m² its area will be reduced if it is surrounded by an ornamental fence 50 cm wide.
- Transported 20543
How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used car is 2 tons? The clay density is 1,800 kg / m². - 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, i.e., the cone shell? c) What is the weight of the roof if it is made of - Dimensions 71344
How many tiles are needed to cover the bathroom floor, which has the shape of a rectangle measuring 4 m and 25 dm? The tiles are square with dimensions of 10 cm. - Cross-section 81879
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought? - Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone?
- Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Hřiště
The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm. What is the area of the playground in square meters in reality? - 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? - Cube-shaped 32441
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 - 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.
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