Problems of the unit conversion of an area
Number of problems found: 232
On the lawn which has area 914 m2 rained 3 mm of water. How many liters of water rained?
- Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface, and diameter of the sphere.
- Cylinder - h2
Cylinder volume is 2.6 liters. Base area is 1.3 dm2. Calculate the height of the cylinder.
- Plan of the village
Plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality.
Peter broke the window glass with size 110 cm and 90 cm. 1 square meter of glass costs 11 USD. How much money is need to pay for a new glass?
Map scale is 1: 5000. The playground is rectangular and on the map has dimensions 10 cm and 5 cm What is area of playground in square meters in reality?
- Diagonals in the diamond
The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m2. Determine the sizes of the diagonals.
- The pot
The pot is in 1/3 filled with water. Bottom of the pot has an area of 329 cm2. How many centimeters rises water level in the pot after add 1.2 liters of water?
The rectangular garden has a length 99 m and width 84 m. Calculate how many m2 will decrease its area if land by the ornamental fence with width 30 cm.
- Circle arc
Calculate the circular arc area in m2 where the diameter is 263 dm, and a central angle is 40°. Result round to three decimal places.
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m2?
- Built-up area
John build up area 5 x 7 = 35 m2 with building with a wall thickness 30 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 9%?
Mr. Peter builds a pool shape of a four-sided prism with a rhombus base in the garden. Base edge length is 8 m, the distance of the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water consume Mr. Peter to fill t
Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
How much metal is needed for production 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
The swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with an area 8.25 cm2. What scale is the city plan?
Calculate the masonry area to build a wall with dimensions of 9 m × 4 m with 4 windows of size 64 cm × 64 cm.
Forest has an area of 36 ha. How much area is occupied by forest on the map at scale 1:500?
Calculate: x = 1 m2 + 1 dm2 + 1 cm2
The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
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