Third power + area - practice problems
Number of problems found: 51
- Expressed 79474
The length of the cube's edge in cm is expressed as a natural number. Its volume is greater than 100 and less than 200. Calculate the surface area of the cube. - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has
- Surface 45911
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have? - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - 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. - Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block? - Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube.
- Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - 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. - 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 21173
The water ball has a volume of 32,500m². How big is its diameter? - Cardboard box
Peter had square cardboard. The length of the pages was an integer in decimetres. He cut four squares with a side of 3 dm from the corners and made a box out of it, which fit precisely 108 cubes with an edge one dm long. Julia cut four squares with a side - Juice-soaked 17173
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There is three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked port - 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.
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