Area - math word problems - page 91 of 158

Number of problems found: 3142

Calculate 8039
Peter built a cube in Ostrava, each wall with a unique QR code. The edge of the cube is 107 cm long. Calculate how large an area its author had to cover with white and black.
A screen
A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of a central area which is exactly 33% of the screen size?
Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap.
Contain 7986
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there?
The pool - optimization
A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
Aquarium
Find how many dm² of glass we need to make a block-shaped aquarium (the top is not covered) if the dimensions are to be a width of 50 cm, length of 120 cm, and height of 8.5 dm.
Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, and the edge length is 10 cm. What is the volume of the prism?
Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded?
Cylindrical 7943
The outdoor pool has a cylindrical shape with an inner diameter of 3.6 m and a depth of 1.2 m. a) how long will it take to fill if 2 liters of water flow per second? b) how many crowns will it cost to fill the pool? (find out the price of 1 m³ of water. )
Dimensions 7932
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface.
Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area?
Dimensions 7912
How many blocks have integer dimensions of the edges if the surface is 48 m²?
Four-sided 7910
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8m and a base edge of 4m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof?
Closed drum
Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π= 3.14)
Ice layer
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m?
Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²?
Foot area
Which animal will leave a deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square?
Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12cm CD=4cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
Calculate 7854
The surface of the cube is 61.44 cm². Calculate its volume.

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