Volume - practice for 14 year olds - page 14 of 39
Number of problems found: 772
- Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals. - Calculation 81405
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer). - Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Calculate 65154
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places. - Volume 62064
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box? - Quadrilateral 40551
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Reservoirs 29051
The three water reservoirs hold a total of 130 liters. Determine their volumes in m³. If the first fits 15 liters less than the second and 20 liters less than the third. - Surface 19383 cone
The volume of a cone with a radius of 6 cm is 301.44 cm cubic. What is its surface? - Original 18203
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube? - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Expensive 5040
The auto parts store received a shipment of 30 pieces of motor oil for €396. More expensive oil costs €15, cheaper €12. How many amounts of more expensive and cheaper oil were in the shipment? - Solution 3092
How many liters of 80% alcohol need to be mixed with 4 liters of 40% alcohol to get 70% alcohol? How many liters of 70% solution do we get? - Calculate 2674
Calculate the volume of the block if a = 3 cm, the size of the body diagonal is 10 cm and the size of the diagonal of the base is 5 cm - Cantilevers 81937
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Triangular 24091
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate the height of the prism. - Water 70
Water is poured into a hemisphere-shaped bowl at a rate of 5m³ per second. If the bowl has a depth of 8m, how long does it take to fill up the bowl to the rim? - A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge a applies: V = 2.8 m³, v = 2.1 m - 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?
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