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Seventh Grade Math Homework?

59. Suppose you arranged 10^2 1 -cm cubes into a large cube.

a. What is the length of an edge of the cube in centimeters?

b. What is the volume of the cube, in cubic centimeters?

Now suppose you arranged 10^6 1 -cm cubes into a large cube.

c. What is the edge of the length of the new cube, in centimeters? What is the volume of the new cube, in cubic centimeters?

d. What is the volume of the new cube, in cubic centimeters? What is the volume of the first large cube, in cubic centimeters?

e. What is the area of a face of the new cube, in square centimeters?

Update:

sorry guys i meant 10^3

2 Answers

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  • 9 years ago
    Favorite Answer

    Sorry to say but, Part 1 of this question is wrong.

    if you have 1 cm cubes then you can form large cube of 1,8,27,64,125,...cubes

    10^2 = 100 which does not belong to the above series. So no perfect cube is can be formed,

    However for 10^6 case:

    10^6 = (10^2)^3

    which implies 10^2 x 10^2 x 10^2 is the new cube.

    Answer c. edge of the length of the new cube 100 cm. The volume of the new cube 10^6 cubic cm.

    Answer d. The volume of the new cube 10^6 cubic cm. What is the volume of the first large cube, in cubic centimeters? Is this part also a question??

    Answer e. the area of a face of the new cube 10^4 sq cm.

  • 9 years ago

    CANT take 10^2 little cubes and make 1 large one

    10^2 is NOT a Perfect Cube

    For the 10^6 which = 1000000 this is a perfect cube

    It is 100

    c).....100 cm

    d).....100*100*100 = 1000000 cm^3

    e).....100*100 = 10000 cm^2

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