Expression of a variable from the formula + power - practice problems - page 10 of 11
Number of problems found: 212
- Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625 - Equation: 3726
Determine the real root of the equation: x^-3: x^-8 = 32 - Unknown number 7
Calculate an unknown number whose 12th power, when divided by the 9th power, gets a number 27 times greater than the unknown number. Determine the unknown number. - Specify 3347
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number.
- Positive 3298
Which positive number equals twice its square? - The cube
The cube has a surface area of 486 m². Calculate its volume. - Square
The square's side length decreases by 25%. Now it has an area of 28 cm² lower. Find the side of the original square. - Similarity of squares
The ratio of the similarity of the squares ABCD and KLMN is 2.5. Square KLMN area is greater than an area of a square ABCD with side a: ... - Square
Calculate the side of a square with a diagonal measurement of 10 cm.
- Trapezoid
Area of trapezoid is 135 cm². Sides a, c and height h are in a ratio of 6:4:3. How long are a,c and h? Make calculation. - Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³. - Cube 7
Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm. - Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder.
- For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Hollow sphere
The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³ - BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 102 kg and height h = 159 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index is possible - Cube basics
How long is the edge length of a cube with volume 15 m³? - Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere.
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