# Solid geometry + cube - practice problems

#### Number of problems found: 231

- Ladder

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

One cube has an edge increased five times. How many times will larger it's surface area and volume? - Seat

How much m² of fabric do we need to sew a 50cm-shaped cube-shaped seat if 10% of the material we add to the folds? - Into box

How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm; 8.9 cm and 13.75 cm? - Surface area 2

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

Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%. - 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? - 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. - 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. Determine the area of the base and walls of the prism. - 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? - Inscribed sphere

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

A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - 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 - 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. - 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? - 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 - Transforming cuboid

Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length? - 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. - Cube edges

If the edge length of the cube increases by 50%, how does the volume of this cube increase?

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Solid geometry, stereometry. Cube practice problems.