Expression of a variable from the formula - practice for 13 year olds - page 59 of 62
Number of problems found: 1222
- Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³. - Cube 8
The surface of the cube is 0.54 m². Calculate the length of the cube edge. - Cube 5
The surface of the cube is 15.36 dm². How will change the surface area of this cube if the length of the edges is reduced by 2 cm? - Disease
Farmers'cooperative had a supply of feed for 50 cows for six days. Cows got insidious disease after four days. Ten of them died. How many total days that farmers had feed cows?
- Vinegar
What percentage of vinegar do we get if we mix 1 dm³ of eight percent vinegar with 1.5 dm³ of six percent vinegar? - Aquarium 6
How high is the water level in the aquarium with a rectangular base of 40cm and 50cm if it is filled with 0,65hl of water? - 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? - Prism
The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5dm and height ha = 18cm. Calculate the height of the prism. - Rhombus A2p
The rhombus area is 13 cm², and its height is 5cm long. Find the perimeter of this rhombus.
- Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross? - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. Prism height is twice the base edge length.
- Hollow sphere
The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³ - Positive number z
The positive number z is 10% greater than the number y. How many percent is y smaller than z? Report the result rounded to one decimal place. - Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down his mother weighs 57 kg if she wants to be swung in balance. - Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4 and the area of the Lateral Surface Area (LSA) is 24 dm².
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