Cube practice problems - page 10 of 28

Number of problems found: 556

Function 8437
Express the volume of a cube as a function of its edge size.
The cube
The cube has a 25 cm edge. We cut it into small cubes with 5 cm long sides. How many of these little ones are left when we build a new cube of 20 cm in length?
Create 44531
We make a box in the shape of a cube with an edge of 12 cm. How many cm² of sheet metal do we need to create a box if we do not make the lid?
Calculate 38073
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm².
Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents.
Cube-shaped 28101
How many square decimetres of sheet metal are needed for a cube-shaped tank, open at the top with an edge of 75 cm?
A plasticine
Joseph modeled from plasticine. He used 27g of plasticine to model a 3 cm long cube. How many grams of plasticine will it need to mold cubes with an edge of 6cm?
Rainfall
The annual average rainfall in India was 26 461 mm in Cherrapunji in 1981. How many hectoliters of water fell on one square meter? Would you fit this amount of water into a cube of three meters?
CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m³, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains.
One dice
Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, and 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An e
Precisely 64114
We painted a wooden cube with an edge 4 cm long with green paint over the entire surface. Then we cut it into small cubes with an edge length of 1 cm. The number of cubes that have precisely two faces colored green is:
Profit growth
A company's profit increased by 25% during 1992, increased by 40% during 1993, decreased by 20% in 1994, and increased by 10% during 1995. Find the average growth in the profit level over the four years.
Millimeter 6629
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m³
Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface?
Heavier 4553
What is the mass of a cube of cast iron with an edge length of 2.3 dm if we know that the mass of 1 dm³ of cast iron is 7.3 kg? Will the same size cube of cork be heavier if we know that the weight of 1 m³ of cork is 250 kg?
Completely 4226
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium?
Integer cube
The length of the cube edge is an integer. Its volume is in cm³, a five-digit number divisible by 1331. What is the length of the edge of this cube?
Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam?
Annual income
The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean.
Two cubes 3
Two cubes modeled from plasticine have single-digit integer edge lengths with a difference of 1 cm. Can one large cube with an integer edge length be modeled from the same amount of plasticine?

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