Rearrange variables - math word problems - page 67 of 147
Number of problems found: 2922
- Age of family
The father and son are in a ratio of 10:3. The father and daughter's age is 5:2. How old are a father and a son if the daughter is 20? - Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter. - Hectoliters of water
There are 942 hectoliters of water in a cylindrical tank with an inner diameter of 6 m. The water reaches two-thirds of the tank's depth. Calculate its depth. - Container diameter calculation
The cylindrical container is completely filled and contains 62.8 liters of water. It is half a meter high. Calculate the bottom diameter. - Quadrilateral prism
Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated? - Viewing angle
The observer sees a straight fence 60 m long at a viewing angle of 30°. It is 102 m away from one end of the enclosure. How far is the observer from the other end of the enclosure? - Prism height calculation
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate its height. - Adam Eve meeting
1) Adam lives 4 kilometers from Eve. At the same time, he leaves for a meeting. Adam at a speed of 6 km/h and Eve at a speed of 4 km/h. How long will it take them to meet, and how many kilometers will Adam walk? 2) It was the same assignment, but Eve did - Quadrilateral pyramid
Calculate the surface of a quadrilateral pyramid with a rectangular base, dimensions a = 8 cm, b = 6 cm, and height H = 10 cm. - Side lengths
In the triangle ABC, the height to side a is 6 cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b. - The number 72
The number 72 increased by 25%. By how much % will you have to reduce the number you created to get the number 72 again? - Observation tower
The observation tower has a height of 105 m above sea level. The ship is aimed at a depth angle of 1° 49' from the tower. How far is the ship from the base of the tower? - Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Prism height calculation
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1 dm³. - Tower roof area
The administrator of the castle is trying to estimate how many square meters of sheet metal will be needed for the new roof of the tower. The roof has the shape of a cone. The castle administrator knows that the tower's diameter is 4.6 meters and its heig - Cylinder diameter calculation Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter.
- Triangle from median
Calculate the perimeter, area, and magnitudes of the triangle ABC's remaining angles: a = 8.4; β = 105° 35 '; and median ta = 12.5. - Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)? - Pyramid edge calculation
We know a regular quadrilateral pyramid's base diagonal length of u = 4 cm. The height of the pyramid is v = 5 cm. Calculate the size of the side edge and the base edge of the pyramid. - Wire fence
The wire fence around the garden is 160 m long. One side of the garden is three times longer than the other. How many meters do the individual sides of the garden measure?
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