Square (second power, quadratic) + square - practice problems - page 53 of 124
Number of problems found: 2478
- Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - Chemical drum
A cylinder chemical drum is 220.5cm long, and the radius of the drum is 42cm. Calculate the cost of painting the drum at the rate of RS.0.15/cm². - Little 2
Little fields farm lies on a rectangular plot of land that measures 2 2/4 miles in length and 2 2/3 miles in width. What is its area in square miles? - Mrs Holland
Mrs. Holland wants to paint her garage wall. The wall measures 6 m x 3 m Each can of paint covers 5 m². Each can cost £7.50 How much will it cost Mrs. Holland to paint her garage wall? - Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm? - 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: - Two walls
Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm². - Sum of the edges
The sum of the lengths of all cube edges is 72 cm. How many cm² of colored paper are we going to use for sticking? - 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 plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Rectangular garden 2
A farmer bought 600 m of wire for the fence. He wants to use it to besiege a rectangular garden with a surface of 16875 m². Calculate the size of the garden. - Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be? - Flooring a room
Find the cost of flooring a room 6.5 m by 5 m with square tiles of sides 25 cm at the rate of rupees 9.40 per tile. - Rectangle diagonal
The rectangle, one side of which is 5 cm long, is divided by a 13 cm diagonal into two triangles. Calculate the area of one of these triangles in cm². - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Alaska vs Montana
Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area of approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana? - Map scale
The rectangular plot has a scale of 1:10000 area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map? - Square area
Complete the table and then draw each square. Provide exact lengths. Describe any problems you have. Side Length Area Square 1 1 unit² Square 2 2 units² Square 3 4 units2
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