Surface area + third power - practice problems

Number of problems found: 45

Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box.
The cube
The cube has a surface of 600 cm². What is its volume?
Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm².
Cuboid to cube
A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.
The cube
The cube has a surface area of 216 dm². Calculate: a) the content of one wall, b) edge length, c) cube volume.
Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls, or one big ball?
Magnified cube
If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube.
Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume.
The ball
The ball has a radius of 2m. What percentage of the surface and volume is another sphere whose radius is 20% larger?
Length of the edge
Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number.
Cube surface and volume
The surface of the cube is 500 cm², how much cm³ will be its volume?
Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1
Area to volume
If the surface area of a cube is 486, find its volume.
Cube surface and volume
Find the surface of the cube with a volume of 27 dm³.
Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm respectively, can be packed.
Big cube
Calculate the surface of the cube, which is composed of 64 small cubes with an edge 1 cm long.
Cube
One cube has an edge increased five times. How many times will larger it's surface area and volume?
Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters.
Volume and area
What is the volume of a cube which has an area of 361 cm²?

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Examples for the calculation of the surface area of the solid object . Third power - practice problems.