# Square root - 9th grade (14y) - math problems

#### Number of problems found: 169

• Isosceles triangle Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm and the arms a = b = 13 cm long.
• How to How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm.
• Regular square prism The volume of a regular square prism is 192 cm3. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
• Calculate Calculate the height to the base of the isosceles triangle ABC if the length of the base is c = 24cm and the arms have a length b = 13cm.
• ABC isosceles ABC isosceles rights triangle the length or each leg is 1 unit what is the length of the hypotenuse AB in the exact form
• The sum The sum of the squares of two immediately following natural numbers is 1201. Find these numbers.
• Regular 4-sided pyramid Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m.
• Squares above sides In a right triangle, the areas of the squares above its sides are 169; 25 and 144. The length of its longer leg is:
• The storm The top of the 5 m high mast deviated by 1 m from the original vertical axis after the storm. What is the peak now? Round to 2 decimal places.
• Annual growth The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
• Calculate Calculate the height of an isosceles triangle with base 37.8 mm long and an arm 23.1 mm long.
• Total area Calculate the total area (surface and bases) of a prism whose base is a rhombus which diagonals of 12cm and 18cm and prism height are 10 cm.
• Cuboid edges The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m2.
• Rhombus and diagonals The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides. How long is a ladder that touches on a wall 4 meters high, and its lower part is 3 meters away from the wall?
• Five circles On the line segment CD = 6 there are 5 circles with a radius one at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE.
• Triangular prism The triangular prism has a base in the shape of a right triangle, the legs of which is 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm3? And the surface cm2?
• 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.
• 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?
• Height of pyramid The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?

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Square root - math problems. Examples for 9th grade.