Rearrange variables - math word problems - page 81 of 147
Number of problems found: 2922
- Cylinder and its circumference
The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c? - Surface of the cylinder
Calculate the surface of the cylinder for which the shell area is Spl = 20 cm² and the height v = 3.5 cm. - Cuboid face diagonals
The lengths of the cuboid edges are in the ratio 1:2:3. Will the lengths of its diagonals be in the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid. - Moped speed calculation
The road from Brno to Hodonin is 60 km long. Helen left Hodonin at a speed of 4 km/h, and at the same time, Jonas left Brno on a moped for her. What was the moped's speed if Jonas and Helen met in 1 hour and 30 minutes? - Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm. - Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. - Equation 23
Find the value of unknown x in the equation: x+3/x+1=5 (problem finding x) - Folding table
A folding kitchen table is rectangular with an area of 168 dm² and one side 14 dm long. If necessary, it can be enlarged by attaching two semicircular plates along the sides b. By what percentage does the table area increase? Round the result to the neare - Geography tests
On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests? - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides? - Cylinder surface calculation
The area of the cylinder shell is 300 cm², the height of which is equal to the diameter of the base. Find the surface of the cylinder. - Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6 - Voltmeter range
We have a voltmeter that, in its original setting, measures up to 10 V. Calculate the resistance of the series resistor (multiplier) needed to extend the range to 50 V. The voltmeter's internal resistance is 2 kΩ/V. - Square perimeter calculation
Calculate the perimeter of a square if its area is 6.25 square centimeters. - Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area). - Two chords
Calculate the length of chord AB and perpendicular chord BC to the circle if AB is 4 cm from the circle's center and BC 8 cm from the center. - Square side length
Calculate the length of the side of a square whose diagonal has a length of 10 m. - An equilateral triangle
The perimeter of an equilateral triangle is 33 cm. How long is each side? - Radius of the circle
Calculate the radius of the circle whose length is 107 cm larger than its diameter - Surface - cube
What is the length of the edge of the cube, the surface of which is 384 dm²
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