Prism practice problems - page 27 of 28
Number of problems found: 550
- 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. - 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 - Karolína
Carolina chose five bodies from the kit - white, blue, and gray cubes, a blue cylinder, and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top? - Block-shaped 65944
We have a block-shaped container measuring 20 cm x 30 cm x 45 cm. How many 5 cm cubes will fit in it?
- Mike chose
Mike chose four identical cubes, three identical prisms, and two identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions, the same as the cube. Its third dimension is two times longer. The diameter of the base of - 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. - Dimensions 5996
How many cubes with an edge of 10 cm will fit into a block with dimensions of 2 dm, 3 dm, and 5 dm? - 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?
- 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 - 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? - Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained to him that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 meters long, 2 meters wide, and 1.5 meters high to make it easier for the builders to reach th - 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.
- 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. - Calculate 26051
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - 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 - 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. - Concrete columns
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.
Three cubes are glued into a prism. The sum of the lengths of all its edges is 487 cm. What is the length of one edge of the original cube?Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
