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JIJI

  • 3 years ago

Bob bought a glass pyramid from a gift store. The pyramid, with a height of 5 cm and a square base of side 6 cm, was packed in a box shaped as a cube of side 7 cm. The empty space in the box was packed with paper tissue. How many cubic centimeters of the box were stuffed with paper tissue? A 283 cubic centimeters B 293 cubic centimeters C 313 cubic centimeters D 343 cubic centimeters

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  1. Miss_Deva
    • 3 years ago
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    A. 283 cm^3

  2. JIJI
    • 3 years ago
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    How did you get that though?

  3. Miss_Deva
    • 3 years ago
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    The cube has a volume s^3 =7^3=343. The pyramid had a volume of BH/3 where B is the area of the base and h is the height. B is 6*6=36, h=5 so V=60 Vtp=Vc-Vp Vtp=343-60=283 cm^3

  4. JIJI
    • 3 years ago
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    What about this question? I got the answer 8 times is greater (B) but I keep second guessing it. A floor has two square-shaped designs. The area of the second square-shaped design is sixteen times greater than the area of the first square-shaped design. Which statement gives the correct relationship between the lengths of the sides of the two squares? A The length of the side of the second square is 2 times greater than the length of the side of the first square. B The length of the side of the second square is 8 times greater than the length of the side of the first square. C The length of the side of the second square is 16 times greater than the length of the side of the first square. D The length of the side of the second square is 4 times greater than the length of the side of the first square.

  5. Miss_Deva
    • 3 years ago
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    D. The length of the side of the second square is 4 times greater than the length of the side of the first square.

  6. Miss_Deva
    • 3 years ago
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    Wait for one sec, double checking.....

  7. Miss_Deva
    • 3 years ago
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    I got D. as the answer again.

  8. JIJI
    • 3 years ago
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    ok and how did you get that?

  9. Miss_Deva
    • 3 years ago
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    The ratio of the sides would be the square root of of the ratios of the areas. Square root of 16 = 4. 4*4=16

  10. Miss_Deva
    • 3 years ago
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    I had to redo it but I'm pretty sure that's right.

  11. JIJI
    • 3 years ago
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    ok thanks. I must have done something wrong :)

  12. Miss_Deva
    • 3 years ago
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    No problem. I do that all the time to :P

  13. Miss_Deva
    • 3 years ago
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    Wish you luck on your test. :)

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