Cube + cuboid - practice problems - page 4 of 5
Number of problems found: 89
- Beezlebum's
Beezlebum's Toy Store can't keep its stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edg - Dimensions: 82706
The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805cm, width 525cm, and length 15m. The third cube-shaped part is 7m wide. What is the total volume of the building in cubic meters? - Three-quarters 6591
How many liters of water are in a cube-shaped pool with dimensions equal to 3 whole six meters b equals one full 9 meters and a depth of one total 5 meters if it is filled to only three-quarters of its volume? - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then the plasticine was split into two parts in a ratio of 1:8. From each piece made, a cube. In what ratio are the surfaces of these cubes? - Calculate 6275
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. - Identical cubes
From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm? - Dort
The cube-shaped cube box has dimensions of 30 cm × 30 cm × 12 cm. How many CZK (Czech crowns) would it cost to be the biggest cake that would fit into the box when a 10 cm³ cake costs CZK 0.5? The cake has the same shape as the box. - 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. - 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? - Percentage 66684
Prism with square base a=25cm, height h=45cm. cube: b=15cm 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? - Volumes 24771
The block and the cube have the same volumes = 216 cm³. The block has side lengths of b = 4 cm, c = 9 cm. Can they have the same side? - 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? - A/Calculate 13571
The concrete flower pot has the shape of a cube with an edge of 45 cm, and the thickness of the walls and bottom is 4 cm. A/Calculate the clay volume in the flowerpot if it reaches 3cm below the rim. B/Calculate the weight of the flowerpot if the concrete - 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 - Block-shaped 65944
We have a block-shaped container measuring 20 cm x 30 cm x 45 cm. How many will 5 cm cubes fit in it? - 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 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. - 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. - Cube-shaped 81023
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water.
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