# Geometry + cube - practice problems

#### Number of problems found: 231

- Granite cube statue

What is the weight of a granite cube with an edge length of 75 cm, if 1 m³ of granite has a weight of 2.7 tons? - The wooden

The wooden block measures 12 cm, 24 cm, and 30 cm. Peter wants to cut it into several identical cubes. At least how many cubes can he get? - Scale factor

A prism with a volume of 1458 mm³ is scaled down to a volume of 16mm³. What is the scale factor in fraction form? - Cube zoom

How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %? - Cube cut

In the ABCDA'B'C'D'cube, it is guided by the edge of the CC' a plane witch dividing the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine in which ratio the edge AB is divided by this plane. - Ladder

4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Cube in sphere

The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the volume of the cube from the volume of the ball? - Cuboid and ratio

Find the dimensions of a cuboid having a volume of 810 cm³ if the lengths of its edges coming from the same vertex are in ratio 2: 3: 5 - Lathe

Calculate the percentage of waste if the cube with 53 cm long edge is lathed to cylinder with a maximum volume. - Metal sheet

How much m ^ 2 of sheet metal is needed to beat a box in the shape of a cube with an edge length of 50 cm, if we add 20% on the folds of the lid and walls? - Pyramid cut

We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm². Find the area of the - Lathe

From the cube of edge, 37 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after lathed? - Cube 7

Calculate the volume of a cube, whose sum of the lengths of all edges is 276 cm. - Alien ship

The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large - CuZn

Brass is an alloy of copper and zinc. The 10 centimeter brass cube has a weight of 8.6 kg. Copper density is 8930 kg/m^{3}, the zinc density is 7130 kg/m³. Calculate how many kg of copper and zinc a cube contains. - Surface area 2

Calculate how many % reduce the surface area of the cube is we reduced length of each edge by 10%. - Inscribed sphere

How many percent of the cube volume takes the sphere inscribed into it? - Reduce of the volume

Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%. - Bricks pyramid

How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid? - Cube in ball

Cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere?

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Geometry - math word problems. Cube practice problems.