Cube + exponentiation - practice problems
Number of problems found: 16
- Sq and cube
Find the product of the square of (1/2) and the cube of (2/3)
- If the 3
If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.
- Cube construction
A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
- Six speeds
A drilling machine is to have 6 speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values.
- Three members GP
The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.
- Profit growth
The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?
- Cube surface and volume
Find the surface of the cube with a volume of 27 dm³.
One cube has an edge increased five times. How many times will larger it's surface area and volume?
Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Fina
- Cube 6
Volume of the cube is 216 cm3, calculate its surface area.
- Volume from surface area
What is the volume of the cube whose surface area is 96 cm²?
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has volume 20250 cm³. What is the area of the surface of the prism?
Three metal balls with volumes V1=71 cm³ V2=78 cm³ and V3=64 cm³ melted into one ball. Determine it's surface area.
Number left(sqrt(14 * sqrt[ 4 ] (14)) right) 17 can be written in the form 14^x. Find the value of x.
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
- Cube diagonal
Determine the length of the cube diagonal with edge 37 mm.
Cube practice problems. Exponentiation - practice problems.