Square root - math word problems - page 54 of 65
Number of problems found: 1286
- RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm, you will reduce the hypotenuse by 4 cm. Determine the length of these legs. - Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 17 cm and u2 = 14 cm. The prism height is twice the base edge length. - Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³? - Surface area
The volume of a cone is 1000 cm³, and the area of the axis cut is 100 cm². Calculate the surface area of the cone. - The fence
I'm building a cloth (board) fence. The boards are rounded in a semicircle at the top. The tops of the boards between the columns should copy an imaginary circle. The tip of the first and last board forms the chord of a circle whose radius is unknown. The - Chord 3
The chord is 2/3 of the circle's radius from the center and has a length of 10 cm. How long is the circle radius? - Trapezoid RT
The plot is a rectangular trapezium ABCD, where ABIICD has a right angle at the vertex B side and AB has a length of 36 m. The lengths of the sides AB and BC are in the ratio 12:7. The lengths of the sides AB and CD are in the ratio 3:2. Calculate the con
- Right trapezoid
The right trapezoid has bases 3.2 cm and 62 mm long. The shorter leg has a length of 0.25 dm. Calculate the lengths of the diagonals and the second leg. - Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75%, the length of the second leg, and its area is 24 cm². - Pyramid - angle
Calculate the regular quadrangular pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - Geometric sequence
In the geometric sequence, is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Round table tablecloth
The round table has an area of 50.24 dm². Calculate the circular tablecloth diameter if it extends beyond the table's edge by 30 cm.
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm². - Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin. - Ladder 2
The ladder 9.8 meters long is positioned in the well such that its lower end is distanced from the wall of the well 1.2 m. The upper part of the ladder is supported on the upper edge of the well. How high is the well? - Diamond
The side length of the diamond is 35 cm, and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal. - Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long.
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