# Worksheets of area units conversion

### Conversions of an area unit in word problems

- Tablecloth 6336

For a round table with a diameter of 75 cm, you need to sew a tablecloth that should extend 10 cm around the table. A 1.5 cm slat is added to the border. How many square meters of lath do we need for this table? - Rectangles

Calculate how many squares/rectangles of size 4×3 cm we can cut from a sheet of paper of 36 cm×32 cm. - Aquarium

There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square. - Raymond

Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50mm by 100mm. Therefore he needs to make the height of the Tetrapak. - Glass

At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass? - Plan of the village

The 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. - An Elizabethan collar

An Elizabethan collar is used to prevent an animal from irritating a wound. The angle between the opening (diameter 6 inches) with a 16-inch diameter and the side of the collar is 53 degrees. Find the surface area of the collar shown. - Isosceles right triangle

Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Surface of the cube

Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm^{3} - Metal sheets

How much metal sheet is needed to produce eight 4 m long and 12 cm in diameter gutters? During production, joints calculate at 3% of total consumption. - Container

The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - 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? - Diamond base

The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres) - 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. - Rectangle 49153

Rectangle ABCD, whose | AB | = 5cm, | AC | = 8 cm, ∢ | CAB | = 30 °. How long is the other party, and what is its area?

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