Area - math word problems - page 138 of 157
Number of problems found: 3128
- Rectangle
The perimeter of the rectangle is 22 cm, and the area is 30 cm². Determine its dimensions if integers express the length of the sides of the rectangle in centimeters. - Circular pool
The pool's base is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length of 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool? - Octagon from rectangle
We cut the corners of a rectangular tablecloth with dimensions of 4 dm and 8 dm into isosceles triangles. Thus, the octagon formed had an area of 26 dm². How many dm² of tablecloth do we cut down? - Map scale
The garden's plan shows a scale of 1:150, a width of 22 cm, and a length of 35 cm. What is its real area? - 3sides prism
The base of a vertical prism is an isosceles triangle whose base is 10 cm, and the arm is 13 cm long. The prism height is three times the height of the base triangle. Calculate the surface area of the prism. - Wall painting
The wall is 7 meters wide and 3 meters high. The window in the wall has dimensions of 2x1,8 meters. How many liters of color are needed to paint two-layer these walls if the one m² needs 1.3 liters of paint? - Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC. - Seeds
The field has a rectangular shape with 128 m and 350 m dimensions. How many kg of seed is needed for sowing if the one m² will consume 25 g of seeds? - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees. - Cuboid - complicated
Three walls of the same cuboid have an area of 6 cm², 10 cm², and 15 cm². Calculate the volume of the cuboid. - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. When its dimensions increase in the ratio of 5:3, how many times does the area and perimeter increase? - Reservoir
A reservoir that is 6 m long has a diameter of 2.2 m. What is its surface area in square meters? - Rectangular triangles
The lengths of the corresponding sides of two rectangular triangles are in the ratio 2:5. At what ratio are medians relevant to hypotenuse these right triangles? At what ratio are the areas of these triangles? A smaller rectangular triangle has legs 6 and - Tiles
How much will you pay CZK for laying tiles in a square room with a diagonal of 8 m if 1 m² cost CZK 420? - Lawns
Before a sports hall are two equally large rectangular lawns measuring 40 m and 12 m. Maintenance of a 10m² lawn costs 45 CZK yearly. On each lawn is a circular flowerbed with a diameter of 8 meters. How much money is needed each year to take on lawn care - Water tank
The water tank shape of the cuboid has dimensions of the bottom 7.5 meters and 3 meters. How high will reach the water in the tank will flow 10 liters of water per second, and will the inflow be open for 5/6 hours? (Calculate to one decimal place, and the - The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (The cone side is the segment joining the vertex cone with any point of the base circle. All sides - Area of the cone
Calculate the surface area of the cone. You know the base diameter is 25 cm, and the height is 40 cm. - Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area?
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