Cuboid practice problems - page 38 of 39
Number of problems found: 774
- Cuboid and cube
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Water block
A block with a 50 cm² base is filled with water 5 cm under the edge. How many sugar cubes with a 2 cm edge can be thrown into a container that overflows with water? - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - Percentage - prism and cube
Prism with square base a=25 cm, height h=45 cm. cube: b=15 cm a) what percentage of the volume of the prism is the volume of the cube? b) what height should the prism have to have the same volume as the cube? - Block cube edge
The block and the cube have the same volume, 216 cm³. The block has side lengths of b = 4 cm and c = 9 cm. Can they have the same side? - Quadrilateral prism + water
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - Pine wood
We cut a carved beam from a pine trunk 6 m long and 35 cm in diameter. The beam's cross-section is in the shape of a square, which has the greatest area. Calculate the length of the sides of a square. Calculate the volume of lumber in cubic meters. - Box wrapping paper
Mother and daughter Susan are wrapping presents for father. Matt has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Susan 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 t - Cuboid container We have a block-shaped container measuring 20 cm x 30 cm x 45 cm. How many 5 cm cubes will fit in it?
- Cubes in a Block
How many cubes with an edge of 10 cm will fit into a block with dimensions of 2 dm, 3 dm, and 5 dm? - 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? - Cubes into cuboid
How many 12-centimeter cubes fit into the block (cuboid) with 6 dm, 8.4dm, and 4.8? - 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 and Cuboid Volume
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 - Cubes in a box
We have to fill a box 50 cm long, 25 cm wide, and 10 cm high with cubes with 5 cm edges. How many cubes will we need to fill the box? - Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material. - Bricks pyramid
How many 50 cm x 32 cm x 30 cm bricks are needed to build a 272 m x 272 m x 278 m pyramid? - Max - cone
The workshop must produce the greatest cone from the iron bar (shape = prism) with dimensions 6.2 cm, 10 cm, and 6.2 cm. a) Calculate cone volume. b) Calculate the waste. - Cylinder hole
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
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