Square root - math word problems - page 27 of 73
Number of problems found: 1450
- Vehicle acceleration
I have specified that the vehicle has an acceleration of 2 m/s², and I need to find out how many meters it will travel if it reaches 64 km/h and also states how long it takes for the vehicle to travel every one meter. - Pyramid soil
The pit is a regular truncated 4-sided pyramid, with 14 m and 10 m base edges and a depth of 6 m. Calculate how much m³ of soil was removed when we dug this pit. - Triangle area
A triangle with a perimeter of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle. - Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal. - Modulus and argument
Find the mod z and argument z if z=i - ABC isosceles
ABC isosceles rights triangle the length of each leg is 1 unit what is the length of the hypotenuse AB in the exact form - Pyramid surface volume
A quadrilateral pyramid has a square base 4 cm long, the height of the pyramid 5 cm, and the height of the wall 5.4 cm. Find the surface and volume of a quadrilateral pyramid. - A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Height - the ladder
At what height does the 15 m ladder touch the wall if its lower end is 2.5 m away from it? - Triangle
In triangle ABC, point S is the incentre (centre of the inscribed circle). The area of quadrilateral ABCS equals four-fifths of the area of triangle ABC. The side lengths of triangle ABC are all integers expressed in centimetres, and the perimeter of tria - Sphere volume
The surface of the sphere is 535 m². What is its volume? - Pyramid volume surface
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Balloon flight
From the pilgrimage, Nicole has a balloon on a two-meter-long string, the end of which is held 60 cm above the ground. The balloon floats diagonally from Nicole and is 145 cm horizontally away from her. How high is the balloon from the ground? - Spherical sector
The spherical sector has axial section has an angle of α = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the surface of this spherical sector. - Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Cone surface volume
Calculate the surface and volume of the cut rotating cone with base radii of 14 cm and 8 cm height of 11 cm. - Four sides of trapezoid
Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm - On vacation Ivan and Katka discovered on vacation a regular pyramid whose base was a square with a side of 230 m and whose height was equal to the radius of a circle with the same area as the base square. Katka labelled the vertices of the square ABCD. Ivan marked on
- Plane distance
Two planes took off from Prague at one point. The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. How far apart will they be as the crow flies in 25 minutes of flight?
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