Recent questions tagged cubes

29 29 votes
4 answers 4 answers
17.5k
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If $\theta$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then, $\cos \theta =$$\frac{1}{2}$$\frac{1}{\sqrt{3}}...
0 0 votes
1 1 answer
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Angles between any pair of $4$ main diagonals of a cube are$\cos^{-1} 1/\sqrt{3}, \pi – \cos ^{-1} 1/\sqrt{3}$$\cos^{-1} 1/3, \pi – \cos ^{-1} 1/3$$\pi/2$none of the abov...
0 0 votes
2 2 answers
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A box with a square base of length $x$ and height $y$ has an open top and its volume is $32$ cubic centimetres, as shown in the figure below. The values of $x$ and $y$ th...
0 0 votes
2 answers 2 answers
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A cuboid is divided into 192 identical cubelets . This is done by making minimum number of cuts possible. Find the minimum number of cuts. Is there something missing in t...
0 0 votes
1 1 answer
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0 0 votes
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464 views
58 58 votes
4 answers 4 answers
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20.4k views
A cube is built using $64$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the b...
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