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Q: What figure is formed by the intersection of this cube and the plane and is perpendicular to four of the cubes sides?
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Continue Learning about Algebra

How many cubes would you need to build a stack that was 3 cubes long 2 cubes high and 4 cubes deep?

The answer probably is 3*2*4 = 24 unit cubes but you could also do it with 10 cubes: 2 cubes of size 2*2*2 and 8 unit cubes. The question does not require the cubes to be unit cubes.


Why are Cubes and Spheres called solid figures?

They are called solid figure because they are three-dimensional shapes.


Why are number cubes called seven cubes?

They are not generally called seven cubes.


What is the total number of cubes of any size with integral side lengths in the 5x5x5 cube?

This is a cracking question. [I'm assuming that 'integral side lengths' is intended also to mean integral positions. That is to say, the position vectors of the cubes' vertices should consist only of integer components...such that we are effectively drawing our cube in a 3D grid. If this was not a condition, the answer would be infinity.] So then: first, there are 53 = 125 1x1x1 cubes. Then 43 = 64 2x2x2cubes. 33 = 27 3x3x3 cubes. 23 = 8 4x4x4 cubes. And, stunningly, 13 = 1 5x5x5 cube. So far we have 225 cubes. That would not be interesting. But we have only counted the cubes with edges parallel to the edges of the main cube. Suppose there are some more cubes formed by diagonal lines? Since edge lengths and vertex positions both have to be integral, and we are working in 3 dimensions, we are actually looking for Pythagorean quadruples - integer solutions to a2 + b2 + c2 = d2 Up to now we have only used trivial solutions like this: 52 + 02 + 02 = 52 Our edges have only moved in one dimension. We might consider edges that move in two dimensions, using the smallest Pythagorean triple: 32 + 42 + 02 = 52 But diagonal edges of length five are clearly not going to fit. So introduce the third component, and we find this: 12 + 22 + 22 = 32 By using diagonal edges it is possible to constuct a few more valid 3x3x3 cubes. It turns out, I think, that four of these can be formed. So we have 229 cubes in total.


How many 1 inch cubes are created when you cut a 4 inch cube into equal pieces of 1 inch cubes?

16 1-inch cubes

Related questions

Which figure is formed by the intersection of a cube and a plane which is perpendicular to four of the cubes sides?

a square


What is the maximum number of separate interior regions that can be formed by the intersection of two equal cubes?

17 - each of the 8 point out corners on the two cubes and the middle section


What is intersection of solids?

The intersection of two or more solids can either be an empty set, a point (two cones "intersecting" apex-to-apex), a line (two cubes touching along one edge), a face (two cubes, face-to-face). If the solids are "filled", the overlapping intersection will be another solid. If they are hollow, it will be a closed three dimensional figure.


If figure 1 has 3 cubes figure 2 has 10 cubes figure 3 has 29 cubes and figure 4 has 66 cubes how many cubes will figure 10 have?

This is a nth term question. The formula for this is: n³ + 2 So, replace the n with 10: 10³ +2 = 1002


How many parallel and perpendicular faces do cubes have?

hi is is lucy wood


What is the volume of a solid figure that was 3 cubes long 2 cubes wide and 6 cubes high?

That depends on the exact shape of the figure. If it is a rectangular block, just multiply the three numbers.


How do you figure cubes?

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Which solid figure has six faces?

cubes and cuboids


What does edges and vertices have in common?

Not much, other than they both can be parts of a 3-dimensional figure. "Vertices" is plural of "vertex", which is a point. The vertex of an angle, for example, is the point of intersection between two lines. 2-dimensional and 3-dimensional figures can have vertices. An "edge", however, is a line segment, and only 3-dimensional figures (cubes, pyramids, etc) can have edges. An edge is the intersection of two sides of a figure.


How many cubes are formed in chess board?

64


How many ice cubes does it take to equal 1oz of water?

figure it out


How do you figure out a rubix cubes?

Type 'rubik's cube solution in google!