Worksheets of area units conversion
Conversions of an area unit in word problems
- 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. - Raymond
Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50 mm by 100 mm. Therefore, he needs to make the height of the Tetrapak. - Angle between line and plane
Find the angle between the line given parametrically by x = 5 + t y = 1 + 3t z = -2t t ∈ R and the plane given by the equation 2x-y + 3z-4 = 0. - Tablecloth Border Length
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? - 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. - 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. - Isosceles trapezoid
Isosceles trapezoid ABCD, AB||CD is given by |CD| = c = 12 cm, height v = 5 cm and |CAB| = 41°. Calculate area of the trapezoid. - Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm. - Rectangles
Calculate how many rectangles of size 1 × 4 cm can be cut from a sheet of paper measuring 60 cm × 13 cm. - Garden 3
A garden pool in the shape of a cylinder with a base diameter of 300 cm contains 25 hectolitres of water. How deep is it if the water level is 10 cm below the rim of the pool? - Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed? - Rectangle ABCD
The rectangle ABCD is given whose | AB | = 5 cm, | AC | = 8 cm, ∢ | CAB | = 30°. How long is the other side, and what is its area? - Sprinkler irrigation area
The rotary sprinkler's spray area is 20 m. What area of land can it irrigate from one location? - Hexagonal pyramid tank
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm.
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