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anonymous

  • one year ago

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same? A. Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal. B. Yes, because the figures are congruent. C. No, because the cross-sectional areas are not the same. D. No, because only the bases have the same area, not every cross section at every level parallel to the bases.

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  1. anonymous
    • one year ago
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    volume = length x width x height volume 1 = 3 x 12 x 5 = 180 in^3 volume 2 = 4 x 9 x 5 = 180 in^3 The volumes are the same

  2. anonymous
    • one year ago
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    so it the answer would be b?

  3. anonymous
    • one year ago
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    The volume are the same however they do not have the same shape 1 is more rectangular. I would say the answer is A.

  4. anonymous
    • one year ago
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    would you like a better explanation

  5. anonymous
    • one year ago
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    yes please

  6. anonymous
    • one year ago
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    So we know that the height of both of the prisms is 5 and we know that the base of both prisms have different lengths

  7. anonymous
    • one year ago
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    the dimensions of the first base is 3 by 12 so the base equals 36 in^2. the dimensions of the second base is 4 by 9 so the base equals 36 in^2.

  8. anonymous
    • one year ago
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    Also any cross-sentional area parallel to the base will have the same area as the base making A true

  9. anonymous
    • one year ago
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    Additionally, think about a square and a rectangle the square has the dimensions of 4 by 4 while the rectangles dimensions are 2 by 8. The areas are equal however to two shapes/figure are not congruent this is why b cannot be true

  10. anonymous
    • one year ago
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    would you still like more explanation Also could you please give me a metal

  11. anonymous
    • one year ago
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    no i understand now. thank you so much.

  12. anonymous
    • one year ago
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    Thanks for the metal. Good luck with your studying.

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