Cube practice problems - page 8 of 28
Number of problems found: 556
- Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these?
- Cubes - diff
The second cube's edge is 2 cm longer than the edge of the first cube. Volume difference blocks are 728 cm³. Calculate the sizes of the edges of the two dice.
- Cube corners
From the cube of edge 24 cm, we cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will this body have?
- Material 65504
The cube with an edge of 1 cm weighs 0.2 kg. What is the weight of a cube made of the same material with an edge 4 cm long?
- Volume 62064
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box?
- Cubes 47583
How many small cubes do we get when we cut a cube with an edge of 27 cm into cubes with an edge of 3 cm?
- Plasticine 46461
How many grams of plasticine do we need to model a cube with an edge of 150 mm if 1 cm³ weighs 2.1 g?
- Calculate 19083
A) The wooden cube has an edge 14.7 cm long. Calculate its surface area and volume. B) The metal cube's inner edge is 13.6 cm long. How many cm of water can fit in it?
- Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal.
- Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest?
- 3y inflation
The price of the cookie rise in the first year by 2%, the second year fell by 6%, and in the third year increased by 17%. Calculate the average annual increase in the price of the cookie.
- Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
- Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers.
- Probability 17013
What is the probability that a randomly written two-digit number from number 20 to number 99 will be divisible by 11, the power of number 3, or a prime number?
- One third power
Which equation justifies why ten to the one-third power equals the cube root of ten?
- Volume 8406
In a minute, 100 l of water flows out of a cube with a volume of 1000 m. How long will it take to empty?
- Millimeter 7269
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter.
- Jointly and cube power
If y varies jointly as x and the cube of z and y=16 when x=4 and z=2, find an equation representing this relationship. a. y=xz b. y = 2xz³ c.y = 2kx/z³ d.y = xz³/2
- Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes.
- Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box?
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