Power - math word problems - page 12 of 31
Number of problems found: 603
- Triangular prism  The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²?
- Tablecloth's  28511   The round tabletop has a capacity of 2.01 m². Calculate the diameter of the round tablecloth if it exceeds the table's edge by 25 cm. The round tabletop has a capacity of 2.01 m². Calculate the diameter of the round tablecloth if it exceeds the table's edge by 25 cm.
- Ball-shaped  28481   How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³?
- Derivative problem  The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal.
- Equilateral cone  We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
- Calculate  27441   Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered. Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered.
- Seamstresses  27211   Six seamstresses sew five suits in 3 days. How long before four seamstresses sew eight suits? Six seamstresses sew five suits in 3 days. How long before four seamstresses sew eight suits?
- Calculate  27171   The volume of the right 4-side pyramid is 138 m3, and its height is 9m. Calculate the area of the base and the edge of its base. The volume of the right 4-side pyramid is 138 m3, and its height is 9m. Calculate the area of the base and the edge of its base.
- Coils of transformer  The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and number of turns if the transformation ratio k = 0.1. The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and number of turns if the transformation ratio k = 0.1.
- Circumference  26651   A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm2) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t. A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm2) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t.
- 1 page  One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book? One page is torn from the book. The sum of the page numbers of all the remaining pages is 15,000. What numbers did the pages have on the page that was torn from the book?
- Trip with compass  During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip? During the trip, Peter went 5 km straight north from the cottage, then 12 km west, and finally returned straight to the cottage. How many kilometers did Peter cover during the whole trip?
- Cube  surfce2volume  Calculate the volume of the cube if its surface is 150 cm². Calculate the volume of the cube if its surface is 150 cm².
- Motorcycle engine  The motorcycle engine has a constant power of 1.2 kW for 0.5 hours. How much work does the engine do? Express work in kWh and Ws units. The motorcycle engine has a constant power of 1.2 kW for 0.5 hours. How much work does the engine do? Express work in kWh and Ws units.
- Spherical segment  Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm. Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm.
- Cuboid to cube  A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube. A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.
- The cube  The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume. The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume.
- Electric work  Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply. Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply.
- Calculate  25111   The quadratic function has the formula y = -2x²-3x + 8. Calculate the function value in points 5, -2, and ½. The quadratic function has the formula y = -2x²-3x + 8. Calculate the function value in points 5, -2, and ½.
- Resistance  25021   Calculate the resistance and power of the appliance through which a current of 20mA flows at the mains voltage (230 V). Calculate the resistance and power of the appliance through which a current of 20mA flows at the mains voltage (230 V).
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