Square root - math word problems - page 48 of 58
Number of problems found: 1148
- 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?
- Rhombus 2
Calculate the rhombus area with a height v=48 mm and shorter diagonal u = 60 mm long.
- Rhomboid
The rhomboid sides' dimensions are a= |AB|=5cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC?
- Rope slack
Between two streets, 20 m away, give the lamp in the middle and hang 60 cm below the taut rope. Can it be done with a 20.5 meters rope?
- Circumference 1608
The bases of the isosceles trapezoid measure 110m and 50m. The distance between the bases is 40m. Calculate its circumference.
- Rotary cylinder
The rotating cylinder has a surface area of 69.08 cm². The area of the shell is 62.8 cm ². What is the diameter of the cylinder?
- Tent
A pyramid-shaped tent has a base square with a side length of 2 m and a height of 1.7 m. How many meters of canvas is needed to make it if we should add 10% for waste?
- 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3?
- Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter.
- Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord.
- Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter?
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