Square root - math word problems - page 53 of 68
Number of problems found: 1348
- Park
In the park is a marked diamond-shaped line connecting locations A, D, S, C, B, and A. Calculate its length if |AB| = 108 m, |AC| = 172.8 m.
- Umbrella
Can a 75 cm umbrella fit into a box of fruit? The box's dimensions are 390 mm by 510 mm.
- Dog
The dog is tied to a chain, which is mounted in the corner of the yard. The yard is shaped like a square with a side length of 20 meters. The same length is also a dog chain. Are there places in the yard where the dog can't reach?
- Hypotenuse
Calculate the length of the hypotenuse of a right triangle with a catheti 71 cm and 49 cm long.
- Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality).
- Length IT
Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a = 8 cm c = 2 cm h = 4 cm.
- Drainage channel
The drainage channel's cross-section is an isosceles trapezoid whose bases are 1.80 m and 0.90 m long, and the arm is 0.60 meters long. Calculate the channel's depth.
- Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters.
- Trapezoid
The area of a trapezoid is 135 cm². The sides a, c, and height h are in a ratio of 6:4:3. How long are sides a, c, and height h? Perform calculation.
- Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals.
- Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
- Rhombus IV
Calculate the length of the diagonals of the rhombus, whose sizes are in the ratio of 1:2 and a rhombus side is 35 cm.
- Broken tree
The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top, but does not fall off. It is refuted on the ground. How far from the base of the tree lay its peak?
- Cableway
The cableway has a length of 1800 m. The horizontal distance between the upper and lower cable car station is 1600 m. Calculate how much meters altitude is higher upper station than at the base station.
- Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards at 21.6 km/h. How far apart are they after 10 minutes?
- Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller.
- Cube 6
The volume of the cube is 216 cm³. Calculate its surface area.
- Cube 8
The surface of the cube is 0.54 m². Calculate the length of the cube edge.
- Construct 1
Construct a triangle ABC, a = 7 cm, b = 9 cm with a right angle at C, and construct the axis of all three sides. Measure the length of side c (and write).
- Rectangle - parallelogram
A rectangle is circumscribed by a circle with a radius of 5 cm. The short side of the rectangle measures 6 cm. Calculate the perimeter of a parallelogram ABCD, whose vertices are the midpoints of the sides of the rectangle.
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