The area of unit conversion problems
Number of problems found: 630
- Prism - base and height
Find volume of the prism if the base area equals 20 inches² with 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 220mm and 308mm. 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 1200m long and 900m wide. If a hectare (10000m²) 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 59ml of liquid into an area of 594 sq mm, how thick would the liquid be?
- Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
- Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston?
- Rectangular roof
Our house's roof is rectangular. When it rains, the water drains through the gutter. How much water flowed from our roof during a storm when we know that 12 liters of water fell on every 1 m² of surface? The roof width is 6m, the length is 9m, and the slo
- Circumscribed 83363
Triangle ABC, with sides a = 15 cm, b = 17.4 cm, and c = 21.6 cm, is circumscribed by a circle. Calculate the area of the segments determined by the sides of the triangle.
- Length 83358
A block-shaped pool has a length of 50m, width of 25m, and depth of 3.5 m. When the pool is filled 50 cm below the edge, how many hectoliters of water is in it? If we paint the inside of the pool two coats and you pay 50 cents per 1m2, how much
- Calculate 83356
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment.
- Beautiful garden
If 10 mm of water fell on a trapezoid-shaped garden with bases of 30 m and 20 m and a height of 20 m, how many buckets of water would we need to water the garden equally abundantly if the bucket had a volume of 15 l?
- Perimeter 83352
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment.
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