Rearrange variables - math word problems - page 59 of 145

Number of problems found: 2899

Running
The length of the inner edge of the running oval is 400 m. The straight sections measure 90 m. Calculate the dimensions of the oval - the rectangle where this oval can fit.
Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit.
9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm.
Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase?
Edge c
Find the edge c of the cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm².
How many
How many m² of copper sheet is needed to replace the roof of a conical tower with a diameter of 13 meters and a height of 24 meters if we count 8% of the material for bending and waste?
Ice cream cone
There is 0.3 dl of strawberry ice cream in the cone-shaped ice cream cone. Calculate the depth of the cornet if its circumference is 5.6 cm.
Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
Sphere parts, segment
A sphere with a diameter of 20.6 cm, the cut is a circle with a diameter of 16.2 cm. What are the volume and surface of the segment?
Area and perimeter of rectangle
The rectangle area is 3000 cm², and one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle.
The volume
The volume of the sphere is 1 m³. What is its surface?
Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm² and the base edge is 16 cm?
Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm.
Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C.
Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously.
Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter.
Tourist group pursuit
The first group of tourists left the hut at 8:00 AM at a speed of 4 km/h. The second group of tourists followed them half an hour later at a speed of 6 km/h. How long and how many kilometers from the cottage will it catch up with the first group?
Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
Building shadow height
The shadow of the building is 16 m long, and the shadow of the vertical meter rod is 0.8 m long at the same time. What is the height of the building?
Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times?

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