Area Conversion Word Problems
Number of problems found: 734
- Prism - base and height
Find the volume of a prism if the base area equals 20 in² and the height is 12 inches. - A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²? - Yd2 to ft2 unit conversion
If a room requires 25.4 square yards of carpeting, what is the area of the floor in units of ft2? (3 ft. = 1 yd.) - Sq feet converions
What is the area in square feet of a room that is 10' 3" x 16' 9"? - The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area. - One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area. - Paper The drawing paper has dimensions 220 mm and 308 mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares.
- A rectangular 11
A rectangular plot of land has sides that are 1200 m long and 900 m wide. If a hectare (10000 m²) of the land costs R5200,00, the cost of the entire plot is: - A soccer
A soccer field (football pitch) has a length of 101.8 m and a width of 69.8 m. Find the total area of the field in square meters (m2) and convert this measurement to square yards (yd2). Use the fact that 1 yard = 0.9144 m. Round your answer to the nearest - The long The long side of a rectangular frame is 2′9″, and the short side is 1′3″. What is the area of the frame in square feet?
- Poured liquid
If I pour 59 ml of liquid into an area of 594 sq mm, how thick would the liquid be? - 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? - Drinking trough
A drinking trough for cattle is in the shape of a half-cylinder, 2 metres long with a diameter of 80 cm. How much sheet metal is needed to make it, given that an additional 12% of material is added for joints? - Asphalt - rolling
A road roller has a diameter of 80 cm and a width of 1.2 m. How many square metres of road does it roll if it makes twenty full rotations? - Measuring cylinder
A measuring cylinder has a base radius of 35 mm and a height of 500 mm. Calculate the wetted surface area if the liquid level reaches a height of 35 cm. - Calculate 423
Calculate the volume and surface area of a cylinder with a height of 40 dm and a base diameter of 3 m. - From a full
From a full cylindrical glass with a diameter of 8 cm, 1 decilitre of water was poured out. By how many centimetres did the water level in the glass drop? - Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - Parallelogram 44
Parallelogram ABCD has an area of 32 cm², |AB| = 8 cm, |BC| = 5 cm. Calculate the sizes of its interior angles. - Storm 4
Approximately 4,000 trees grow on 1 hectare of forest. During the storm of 20 November 2004, 95% of the trees on 100 km² of the High Tatras forest cover were destroyed. How many trees were destroyed?
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