Equation + area of a shape - practice problems - page 3 of 12
Number of problems found: 237
- A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - Calculate 74794
A wooden cylinder with a diameter of 20 cm and a length of 1 m is immersed in water. The specific weight of wood is 700kg/m³. For example, calculate the height of the wood that is above the water. The role was assigned to me as a high school freshman math - The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle? - Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
- Estimate the mode
A medium-sized asset management firm has 56 fund managers. Each of these managers has its own portfolio. The percentage returns from the managers' portfolios are shown in the table below: Return percentage; Number of managers 0-10; 8 10-20; 18 20-30; 21 - One side 2
One side of the rectangle is three times larger, and the other is 4 cm smaller than the side of the square. Find the area of the square if more than the area of the rectangle by 10 cm². - The circumference 3
The circumference of a cylindrical water tank is 62.8m. When it is 4/5 full of water, it holds 125.6hl. Find the depth of the tank. - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden.
- Rectangles 70304
How many rectangles with side lengths expressed in natural numbers have an area of 96 cm²? - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Circumference 69934
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter? - Grandmother's 69254
The grandmother and granddaughter Julia harvest currants in 15 hours of work together. Julia would harvest currants for ten days after 6 hours of work a day. a) Determine in hours how long the harvest would have taken for her grandmother if Julča had not - Length 26
The length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is:
- Principal 67954
How long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros? - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Lengths 63174
The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block. - Peter's rectangle
Peter had a rectangle 2 cm wide and of unknown length. The line had a 2 cm rectangle whose length was equal to the perimeter of Peter's rectangle. When they put the rectangles together with their widths, they got a new rectangle with a circumference of 63
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