Area - practice problems - page 9 of 149
Number of problems found: 2968
- Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²?
- 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
- Coordinates 83482
I have a point A=[2,1] and a line y+x-5=0. How do I determine the coordinates of point A', which is the image of point A according to the given straight line?
- Described 83448
A square is described as a circle with a radius of 6 cm. How much larger is the area of the square than the area of the circle?
- Centimeters 83442
Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees.
- Connecting 83441
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the content of the square ABCD is the content of the square created in its center by connecting the points AF, BG, CH, and DE?
- Quadrilateral 83421
Calculate the volume of the shell of a quadrilateral prism with a rhombus-shaped base with dimensions a=6cm, va=40mm. The height of the prism is 81 mm.
- Sidewalks 83417
The pavers paved 1/8 of the total area of the sidewalk on the first day. On the second day, they paved 20 square meters of pavement. In both two days, they paved 50 square meters of sidewalks. Calculate the total area of the sidewalk.
- Carpet area
How many meters of carpet 3 meters wide are needed to cover a square floor with a area of 36 square meters?
- Garden 83367
How many meters of mesh is needed to fence a square garden with an area of 5,402.25 square meters?
- Calculate 83366
Calculate the side a of triangle ABC if we know va=8cm, b=16cm, vb=10cm.
- 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
- Circumscribed 83357
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm.
- 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.
- Calculation 83339
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct.
- Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid.
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