Square root + area - practice problems - page 6 of 22
Number of problems found: 429
- 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. - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Z-score test
The fish weights in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a decim - 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. - Calculate 73704
A vertical regular 3-sided pyramid is given. The side of the base a = 5cm, and the height is 8 cm. Calculate the volume and area. - Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - Square-shaped 73564
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map. - Calculate 73434
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm.
- Equilateral 73374
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation. - Casserole 72634
The casserole with a volume of V = 4.5 l has a depth of h = 10 cm. Calculate its inside diameter. - Circumference 72414
Calculate the diagonal and the area of a square if its circumference is 10 centimeters. - Centimeters 72134
The area of the square is equal to 1024 square centimeters. Calculate the perimeter of the square and the length of the side a. - 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?
- Coverage 71484
The tower's roof is a regular 4-sided pyramid with a height of 4m and an edge of the base of 6m. 25% of the roof covering was found to be damaged. How many square meters of coverage are needed to repair the roof? - Calculate 71374
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Calculate 71324
Calculate the volume of a cube with a surface area of 1,795.74 cm2 - Perpendicular 70824
One perpendicular to the ABC right triangle has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - 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.
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