Math practice for 13 year olds - page 191 of 428

Number of problems found: 8557

Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm² and the base edge is 16 cm?
Roof sheet calculation
Above the pavilion, with a square floor plan with side a = 12 m, is a pyramid-shaped roof with a height of 4.5 m. How many m² of sheet metal is needed to cover this roof?
Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm.
Number combination
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25
A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm.
Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously.
Glove order
Four apprentices worked on a glove order for 20 days. How long would it take for eight apprentices to complete the contract in the same job?
Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter.
Tourist group pursuit
The first group of tourists left the hut at 8:00 AM at a speed of 4 km/h. The second group of tourists followed them half an hour later at a speed of 6 km/h. How long and how many kilometers from the cottage will it catch up with the first group?
Map scale determination
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm.
Petrol consumption calculation
What kind of petrol consumption in liters of 100 km did the car have when driving in the city if it consumed 34 liters of petrol and drove 388 km?
Cylinder height radius
Cylinder height and radius calculation The rectangle ABCD | AB | is given = 8 cm, and | BC | = 4 cm. Determine the height and radius of the cylinder created by rotating the rectangle around the line AB.
Flowerbed transplant
In the middle of the square, they created a flower bed in the shape of an isosceles trapezoid. The parallel sides are 12 m and 8 m long. The bed is 6 m wide. How many flower transplants do they need to plant a flower bed if 4 dm² of space must be counted
Kerosene tank force
Please calculate according to Pascal's law. Kerosene in a block-shaped metal tank reaches a height of 180 cm. Calculate the force acting on the bottom with dimensions of 1.5m and 3m if the density of kerosene is 820kg per M3.
Pascal's law
Please calculate according to Pascal's law. Krupp's machines were known for their large size. In 1861, the inventor put a blacksmith's steam hydraulic press into operation in Essen. What was the cross-sectional area of the larger piston if a compressive f
Boiler pressure force
Calculations according to Pascal's law. A boiler with an internal wall area of 3.4 m² will be tested at a pressure of 0.9 MPa. Calculate the total compressive force acting on the boiler walls.
Brass sphere
Find the weight of a brass ball with an outer radius of 12 cm and a wall thickness of 20 mm if the brass's density is 8.5 g/cm³.
Croatian height difference
There is a horizontal distance of 9 km between two cities on the Croatian coast. The road connecting these two cities has a climb of 13 permille. What is the height difference between Croatian cities?
Building shadow height
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building?

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