Square (second power, quadratic) - math word problems - page 83 of 148
Number of problems found: 2958
- Bequeathed 7803
The father bequeathed to his two sons 4 gold plates in the shape of a square, which were 1 mm thick. The side lengths of these plates were 5 cm, 10 cm, 10 cm, and 15 cm. The sons were to receive the same amount of gold. How many gold plates did each son r - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM - Lake or pond
The landlord has a square lake. Trees grow around it. The lake wants to enlarge the pond twice without cutting down or flooding any trees. How will he do that? - Divisors 7779
Two numbers are guessing. The second number is five times greater than the first number, and the square of the first number is equal to 3/5 of the second number. Find the sum of the two numbers and all its divisors. - Perimeter 7778
The triangle has 7 cm, 8 cm, and 5 cm long sides. How long is the side of a square with the same perimeter as a triangle? - Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of - Calculate 7762
Calculate the size of the diagonal of an ABCD square whose perimeter is 40cm - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Cylinder 7744
What is the height of the cylinder if the volume is 8,478 cubic meters and the area of the base of the cylinder is 706.5 cm square? - Distance 7717
To what height does a 6.5 m long ladder leaning against a wall at a distance of 5.4 m reach? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Circumference - increase
If we increase the length of the side of the square by one-third, the circumference of the square will increase by 18 cm. Calculate the length of the side of the square. - Calculate 7653
The block volume is 900 cm3, and the surface is 600 cm². The area of one wall is 60 cm². Calculate the length of edges a, b, and c. - Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Rectangular 7647
There are 140 liters of water in a rectangular aquarium with 800 mm and 50 cm base dimensions. How high in cm does the water level reach? What is the area in dm² of the inner walls of this aquarium up to the water level? - Screens
The area of a 25-inch TV screen is 300 inch² the area of a 40-inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen? - 10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - Production 7636
The production of kites requires 12 square meters. The paper is 125 cm wide. How many meters of paper do we need to buy? - Circumference 7615
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal. - Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously?
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