Expression of a variable from the formula - math word problems - page 49 of 133
Number of problems found: 2644
- 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 of the segment and the 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. - Millimeter 30041
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. - Kilometers 30021
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? - Vertical 29801
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? - Cylindrical tank
9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach? - The string
They cut 113 cm from the string and divided the rest in a ratio of 5:6.5:8:9.5. The longest part measured 38 cm. Find the original length of the string.
- Extending square garden
Mrs. Petrová's garden had a square shape with a side length of 15 m. After its enlargement by 64 m² (square), it had the form of a square again. How many meters has the length of each side of the garden been extended? - Inhabitants 29451
480 people live in the village of grandmother. There are seven times fewer blue-eyed people than people with different eye colors. How many inhabitants of the village are blue-eyed? - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle - Quadrilateral pyramid,
A quadrilateral pyramid has a rectangular base with 24 cm and 13 cm dimensions. The height of the pyramid is 18cm. Calculate 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid - Distance of points
A regular quadrilateral pyramid ABCDV is given, in which edge AB = a = 4 cm and height v = 8 cm. Let S be the center of the CV. Find the distance of points A and S.
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