Isolating a variable in the formula - math word problems - page 134 of 144
Number of problems found: 2871
- Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?): - Circumference 3254
Calculate the height of a diamond with a circumference of 21.6cm and an area of 21.6cm squares. - Face of the house
How tall is the roof of a house in the shape of an isosceles triangle with a base length of 8 meters and an arm 5 meters long? - Securities 3226
After one year, we sold securities issued at an interest rate of 7% for CZK 8,560. What was their original value? - Employees 3212
Employees exceeded the quarterly plan by 13.2%. In the first month, they exceeded the goal by 320 t, in the second by 310 t, and in the third by 300 t. Calculate the quarterly plan. - Calculate 3209
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm. - Speedboat 3189
At 12:15, a train speeding 55km/h left the station. Twelve minutes later, an 80km/h speedboat set off behind the train. What time does the express train catch up? How far from the station?
- Republic
First, guess which circle has the larger diameter: the one with the same area as the area of the Czech Republic, or the one with the perimeter equal to the length of the border of the Czech Republic? Then check your guess by calculating. The area of t - Quadrilateral-trapezoid 3172
We cut two triangles from the rectangular plate so that the resulting quadrilateral-trapezoid with the same arm lengths has an area of 32 cm², and one of its bases is twice as long as the other. What is the area of the two triangles that make up the waste - Horizontal 3166
The road leading from place A to place B has a gradient of 9%. Considering that their altitudes differ by 27.9 m, determine the horizontal distance between them. - Calculate 3161
In the isosceles trapezoid ABCD, the arm is 5.2 cm long, the middle bar is 7 cm long, and the height is 4.8 cm. Calculate the lengths of both bases. - Circumference 3160
In an isosceles triangle, the base length is 75% of the arm's length. If the circumference is 22 cm, calculate the area of the triangle. - Dimensions 3159
The rectangle is 6 cm longer than the width. A square with a side equal to the length of the rectangle has an area of 78 cm² larger than the rectangle. Calculate the dimensions of the rectangle. - Church roof 2
The roof has the shape of a rotating cone shell with a base diameter of 6 m and a height of 2.5 m. How much money (CZK) will cost the roof cover sheet if 1 m² of metal sheet costs 152 CZK and if you need 15% extra for joints, overlays, and waste? - Right-angled 3147
In a right-angled triangle ABC, the height of side c has a length of 6 cm. The letter D indicates the heel of the height. Line segment AD is 8 cm long. Calculate the area of triangle ABC. ( example on Monitor 9 )
- Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - The cube
The cube has a surface area of 486 m². Calculate its volume. - Cylinder
A 1-meter diameter cylinder is 1413 liters of water, which is 60% of the cylinder. Calculate the cylinder height in meters, do not write the units. Please the resulting value round and write it as an integer. - Alcohol
How many cubic centimeters of 96% alcohol is needed to obtain 0.75 liters of 40% alcohol? - Dimensions 3086
The red cube has an edge 0.2 dm smaller than the blue cube. The surface of the blue cube is 294 cm². What are the dimensions of the cubes?
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