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lianna [129]
2 years ago
12

sarah has a solid wooden cube with a length of 4/5 centimeter. from eaxh of its 8 corners, she cuts out a smaller cube with a le

ngth of 1/5 centimeter. what is the volume of the block after cutting out the smaller cubes?
Mathematics
2 answers:
faltersainse [42]2 years ago
5 0
First, calculate for the volume of the cube before each edges are cut.
                                    V = e³
where e is the length of each sides. Substituting the known value,
                                   V = (4/5 cm)³ = 0.512 cm³

Then, calculate for the volume of each of the small cubes cut out from the corners.
                                   V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
                                       8V = 8(0.008 cm³) = 0.064 cm³

Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>
Travka [436]2 years ago
5 0

Answer:

I am helping out the person who asked what 0.448 is as a fraction and it is 56/125 cm^3



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