Start with a cube with a side, height and width of 12 cm
h x w x d = 12 x 12 x 12
= 1728 cm3
1 cm is cut off then you would have a cube with
h x w x d = 12 x 12 x 11
= 1584 cm3
Like a loaf of bread, you are removing one slice from its length but the height and width of the loaf stays the same as the slices are removed.
If a metal cube is equally cut in half, the volume of each resulting piece would be half of the original cube's volume. Since volume is additive, the total volume of the two halves combined would still equal the original volume of the cube. Therefore, while the individual pieces have reduced volume, the overall volume remains unchanged.
Edge of the larger cube = 32 cm Volume of the larger cube = (32 cm)3 = 32768 cm3 Edge of the smaller cube = 4 cm Volume of the smaller cube = (4 cm)3 = 64 cm3 Since the smaller cubes are cut from the larger cube, volume of all of them will be equal to that of the larger cube. ∴ Total number of smaller cubes × Volume of the smaller cube = Volume of the larger cube ⇒ Total number of smaller cubes = Volume of the larger cube ÷ Volume of the smaller cube ⇒ Total number of smaller cubes = 32768 ÷ 64 = 512 Thus, 512 smaller cubes can be cut from the larger one.
It depends on what is meant by a 1.8 cuboid. If the cuboid has a volume of 1.8 units, then it could sides of lengths that are just slightly off from cuberoot(1.8) and so a cube of volume just slightly less than 1.8 cubic units can be cut.
One centimeter can be cut up into 10 millimeters. It takes 10 millimeters, placed end-to-end, to reach one centimeter.
1357.2
a cube has 12 edges...so the 96 inch wire would be cut into 12 pieces, each measuring 8 inches volume = 8x8x8 = 512 cubic inches Davehx
A cube cut in half is commonly referred to as a rectangular prism, specifically a cuboid. When a cube is divided, it typically results in two equal rectangular prisms, each with dimensions that reflect half the volume of the original cube. The exact terminology may vary based on the orientation of the cut.
It can be cut up to make 14 of them.
A box that has a volume of 1 cubic meter is equal to 1,000,000 cubic centimeters, because 1m x 1m x 1m is equal to 100cm x 100cm x 100cm = 1003cm3 = 1,000,000cm3. (Don't confuse the exponent "3" on the centimeter, it is simply there to denote that we are dealing with volume) Now that we have the volume of the cube in the proper units, we must find the volume of the boxes in question. Again, we will multiply the three side length values to get the volume of our box. 120cm x 25cm x 10cm = 30,000cm3 So now we divide 1,000,000cm3 by 30,000cm3 to get 33.33 (repeating). Now, although this is mathematically correct, it is not practical. This number implies that we will fit a third of a box in the larger cube, and I'm sure it is assumed that you cannot cut the boxes into different shapes or sizes. In reality, we cannot fit any boxes into the cube (unless they are put in diagonally, but I don't believe that is what is expected). If the box length is 120cm and the cube length (in any axis direction) is only 100cm, we will never be able to fit a box inside this cube without cutting it in some way (or placing it in diagonally as previously stated. Of course, we don't fully know if the cubic meter is actually a cube, it might be a rectangular prism. In that case, with the information we have, we would say that the cube has dimensions such that the maximum possible number of boxes to fit inside this cube is 33 (we remove the third of a box because we cannot cut any of the boxes).
The volume will stay the same, because you are not taking any volume away, nor adding any. Therefore the volume will stay the same.
216 cu cm
6 in x 6 in x 6 in = 216 cubic inches