Cuboid + square - practice problems - last page
Number of problems found: 236
- Water block
A block with a 50 cm² base is filled with water 5 cm under the edge. How many can sugar cubes with a 2 cm edge be thrown into a container that overflow with water? - Cube-shaped 71414
Mother and daughter Susan are wrapping presents for father. Maťko has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Zuzka has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in - 10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - Pine wood
We cut a carved beam from a trunk of pine 6 m long and 35 cm in diameter. The beam has a cross-section in the shape of a square. The square has the greatest area. Calculate the length of the sides of a square. Calculate the volume in cubic meters of lumbe
- The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board? - Calculate 26051
The base of the prism has the shape of a square with a side of 10 cm. The height of the prism is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism. - Cylinder-shaped 4411
A cylinder-shaped hole with a diameter of 12 cm is drilled into a block of height 50 cm with a square base with an edge length of 20 cm. The axis of this opening passes through the center of the base of the cuboid. Calculate the volume and surface area of - Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material.
- Cylindrical 83193
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid? - Quadrangular 64564
The surface of the quadrangular block is 3.4 dm². The edges of the figure are 8cm and 10cm long. Calculate the volume of the prism. - Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste. - Prism
Three cubes are glued into a prism. The sum of the lengths of all its edges is 115 cm. What is the length of one edge of the original cube?
- Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - 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
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