Power - math word problems - page 15 of 31
Number of problems found: 603
- The ball  The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger? The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger?
- One third power  Which equation justifies why ten to the one-third power equals the cube root of ten? Which equation justifies why ten to the one-third power equals the cube root of ten?
- Length of the edge  Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number. Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number.
- Increases  14471   How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%? How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%?
- Uboid volume  Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm² Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²
- The schoolyard  The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged? The schoolyard had the shape of a square with an 11m side. The yard has been enlarged by 75 m² and has a square shape again. How many meters was each side of the yard enlarged?
- Evaluate 5  Evaluate expression x²−7x+12x−4 when x=−1 Evaluate expression x²−7x+12x−4 when x=−1
- The parabolic segment  The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis. The parabolic segment has a base a = 4 cm and a height v = 6 cm. Calculate the volume of the body that results from the rotation of this segment a) around its base b) around its axis.
- Weighing  12471   Compare the kinetic energy of a man weighing 80 kg who runs at a speed of 2 m/s and missiles weighing 20 g fired at 400 m/s. Compare the kinetic energy of a man weighing 80 kg who runs at a speed of 2 m/s and missiles weighing 20 g fired at 400 m/s.
- Determine  12461   The 150t aircraft takes off at a speed of 288km/h and, after a while, reaches a speed of 900km/h. Determine the change in the kinetic energy of the aircraft. The 150t aircraft takes off at a speed of 288km/h and, after a while, reaches a speed of 900km/h. Determine the change in the kinetic energy of the aircraft.
- Kinetic energy  A car traveling at a speed of 25 km/h increased the speed to a) 75 km/h b) 100 km/h when exiting the highway. How many times has its kinetic energy increased? A car traveling at a speed of 25 km/h increased the speed to a) 75 km/h b) 100 km/h when exiting the highway. How many times has its kinetic energy increased?
- Secret treasure  Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure.
- Cylinder  11141   The area of the cylinder shell is 300 cm², the height of which is equal to the diameter of the base. Find the surface of the cylinder. The area of the cylinder shell is 300 cm², the height of which is equal to the diameter of the base. Find the surface of the cylinder.
- 3 phase load  Two wattmeters are connected to measure power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) the second reading is negative. Two wattmeters are connected to measure power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) the second reading is negative.
- Kilowatt-hours  If the Lewis family used 648 kilowatt-hours of electricity in 12 days at the same usage rate, how many kilowatt-hours should they use in 24 days? If the Lewis family used 648 kilowatt-hours of electricity in 12 days at the same usage rate, how many kilowatt-hours should they use in 24 days?
- Centimeters  10881  Calculate the perimeter of a square if its area is 6.25 square centimeters. Calculate the perimeter of a square if its area is 6.25 square centimeters.
- Alien ship  The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
- Divide 8  Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z
- The tickets  The tickets to the show cost an integer greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. The tickets to the show cost an integer greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices.
- Right circular cone  The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone. The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone.
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