# Worksheets of area units conversion

### Conversions of of an area units in word problems

- Rainwater

6 mm of water rained on the garden with an area of 25 acres. How many 12 liter cans of water would we water this garden just as much? - Cylinder - area

The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of cylinder if its volume is 2 m^{3}. - Percentages

Calculate the percentages to two decimal places: a / 15 min in 4 hours B / 35 cm^{2}of 12.5 dm^{2}c / 2dm^{2}of 400 cm^{2}D / 0.2 liters from 2.2 liters - 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 dm^{2}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 - The tank

The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank? - Water level

What is the area of the water level of the pool, if after filling 25 m^{3}of water level by 10 cm? a) 25 m^{2}b) 250 m^{2}c) 2500 dm^{2}d) 25,000 cm^{2} - Cardboard box

Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit exactly 108 cubes with an edge 1 dm long. Julia cut four squares with a side of - Cuboid box

How many m^{2}paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm and 30 cm? To the folds add one-tenth the area. - Copper plate

Calculate the thickness of the copper plate with a density 8.7 g/cm³ measuring 1.5 meters and 80 cm and its weight is 3.65 kg - Rotating cone

Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm. - Scale

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 cm^{2}. What scale is the city plan? - Prism

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' - Orange and tangerine trees

Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. According to the survey, the field is thirty-two feet long and six yards wide. What is the area of the field in sq feet?

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