Cube practice problems - page 8 of 29

Number of problems found: 561

Cube wall
The surface of the first cube wall is 64 m². The second cube area is 40% of the surface of the first cube. Find the length of the edge of the second cube (x).
Cube enlargement
The cube has an edge of 70 dm long. How many times does the volume and surface of the cube increase if we enlarge its edge four times?
Dice points
Three dice throw a total of 12. Green has two times more than red. Blue is two times less than green. How many points are on each cube?
Dice - 5 times
We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason.
Bacteria hourly increase
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
Small density cube
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³.
Cube weight edge
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?
Cube volume increase
The edge of an 8 cm cube is increased by 20%. By how much does the volume increase compared to the original cube?
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.
Tank metal calculation
How many square decimetres of sheet metal are needed for a cube-shaped tank, open at the top with an edge of 75 cm?
Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume.
Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water?
Cube edge
The cube has a surface area of 110.6 cm². Calculate the length of its edge.
Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube.
Cubes and mouse
The mouse has 27 cubes, which it puts together in a large cube. Then it bit the middle cat on each side and another cat in the middle. The mouse has four children. He then cuts the cube lengthwise. How many cubes and what shape will four mice get?
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?
Iron cube
Calculate the weight of a cube with an edge length of 15 cm made of iron, (its density is ρ = 7250 kg/m³)
One third power
Which equation justifies why ten to the one-third power equals the cube root of ten?
Sheet of paper
Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no)

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