Area - math word problems - page 81 of 150
Number of problems found: 2981
- Three altitudes
A triangle with altitudes 4, 5, and 6 cm is given. Calculate the lengths of all medians and all sides in a triangle.
- Water depth
If the pool is 25 meters long and 10 meters wide and the water depth is 1.2 meters everywhere, how many square meters of the inside of the pool wet the water?
- Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle.
- Playground 8418
The playground has the shape of a square. One side is 28m long. The grass is in the middle of the field. What area does the grass cover?
- Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?
- Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7.
- Circumferential 8399
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment.
- Annular area
The square with side a = 1 is inscribed and circumscribed by circles. Find the annular area.
- Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy?
- Lateral surface area
The ratio of the area of the base of the rotary cone to its lateral surface area is 3:5. Calculate the surface and volume of the cone if its height v = 4 cm.
- A rectangular patio
A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.
- Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes.
- Block-shaped 8378
How much paint does Peter use to paint a block-shaped sheet metal garage (without the lower base) with dimensions of 8m, 5.5m, and a height of 2.5m, if 1kg of paint is enough for a 4m square area?
- The mowers
The mowers were to mow two meadows, one twice as big as the other. They divided into two equal groups in the first half of the day. One continued to mow a larger meadow and cut it all by the end of the day. The second group mowed a smaller meadow but did
- Rectangular 8365
The kit contains wooden prisms of various shapes. One is 4-sided with the base of a rectangular trapezoid (base measures 15cm and 27cm), arms 16cm and 20cm. The other was a 3-sided prism with base dimensions a=20cm, b=18cm, vb=30cm. Both prisms had a heig
- Sphere VS
Find the surface and volume of a sphere with a radius of 2 dm.
- A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo
- Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change?
- Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it?
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