# Square root - 8th grade (13y) - math problems

#### Number of problems found: 144

• Concentric circles and chord In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius have the concentric circle while touch this chord?
• Uboid volume Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²
• The square The square root of 25 times the square root of 81 is what number?
• Cincinnati A map is placed on a coordinate grid. Cincinnati located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth.
• Diameter = height The surface of the cylinder, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.
• One trapezium One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area. Ladder 10 meters long is staying against the wall so that its bottom edge is 6 meters away from the wall. What height reaches ladder?
• 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?
• Is right-angled Can a triangle with the sides of sqrt 3, sqrt 5 and sqrt 8 (√3, √5 and √8) be a right triangle?
• Unknown number 17 Milada said, I am thinking of a number such that I evaluate expression x1/3, the value of the expression would be 5. Which number Milada thinking? The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm.
• Cube surface and volume The surface of the cube is 500 cm2, how much cm3 will be its volume?
• A kite Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain?
• Cube surfce2volume Calculate the volume of the cube if its surface is 150 cm2.
• Gasoline tank cylindrical What is the inner diameter of the tank, which is 8 m long and contains 40 cubic cubic meters of gasoline?
• Height of pyramid The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
• The cube The cube has a surface area of 216 dm2. Calculate: a) the content of one wall, b) edge length, c) cube volume.
• Length of the edge Find the length of the edge of a cube that has a cm2 surface and a volume in cm3 expressed by the same number.
• Sailboat The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck. Adam placed the ladder of the house, the upper end reaching to the window at the height of 3.6m, and the lower end standing on level ground and was distant from a wall of 1.5m. What is the length of the ladder?