Cube practice problems - page 21 of 28

Number of problems found: 559

Aquarium volume half
Pavel has a cube-shaped aquarium with a volume of 240 liters. Thomas has an aquarium whose all dimensions are half the dimensions of Paul's aquarium. What is the volume of Thomas's aquarium?
Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters?
Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism.
Cuboid height volume
A cube has an edge of 30cm. The cuboid has dimensions of the lower base, 45cm, and 10cm. What is the height of a cuboid if it has the same volume as a cube?
Box and cubes
We have a box with dimensions of 20cm, 16cm, and 8cm. How many cubes can fit in it if the cube has a size of 4cm?
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.
Chocolate roll
The cube of a 5 cm chocolate roll weighs 30 g. How many calories will the identical chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm contain? You know that 100 g
Blocks in box
How many will build blocks with an edge length of 4 cm fit in a box of 3.6dm, 2mm, and 16cm?
A cuboid
A cuboid has a volume of 768 cm³, and the edges marked x are equal in length. Calculate the value of x
Cube water height
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level?
Cubes in block
How many cubes with a 2cm edge will fit in a block measuring 8cm, 10cm, and 12cm?
Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³.
Cube edge
The block volume is 512dm³. How long is the edge of a cube with the same volume as a block?
Hole
We will drill the cylinder shape hole in the cube's center with an edge 16 cm. The volume of the hole must be 10% of the cube. What should drill diameter be chosen?
Three-quarters of volume
A cylindrical container is three-quarters full with six liters of water. We dip a cube-shaped body into the container, which sinks to the bottom. The length of the edge of the cube is 13 cm. Decide what happens to the sink after the cube is dipped.
Snow wall
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall?
Cylinder in cube
A can in the shape of a cylinder with a height of 10 cm and touching all the walls of the cube is placed into a paper box in the shape of a cube with an edge of 10 cm. What % of the cube's volume can it take up?
Cylinder cube percentage
Calculate the percentage of the cube volume that represents the volume of the cylinder inscribed in the cube. The cylinder's bases are circles inscribed on two opposite walls of the cube with an edge a = 14 cm.
Plasticine ball
Plasticine balls have a radius r₁=77 cm, r₂=98 mm, r₃=9 cm, r₄=81 cm, r₅=5 cm, r₆=74 mm, r₇=49 mm, r₈=43 mm, r₉=26 mm, r₁₀=2 cm. They are molded
Cube cylinder volume
There is a cylinder with the largest possible volume in the cube with an edge of 6 m. What percentage of the volume of a cube has the volume of a cylinder?

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