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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 crosssectional areas at every level parallel to the bases are also equal.
B.
Yes, because the figures are congruent.
C.
No, because the crosssectional 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.
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 crosssectional areas at every level parallel to the bases are also equal. B. Yes, because the figures are congruent. C. No, because the crosssectional 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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0volume = 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it the answer would be b?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The volume are the same however they do not have the same shape 1 is more rectangular. I would say the answer is A.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would you like a better explanation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So we know that the height of both of the prisms is 5 and we know that the base of both prisms have different lengths

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the 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.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Also any crosssentional area parallel to the base will have the same area as the base making A true

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Additionally, 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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would you still like more explanation Also could you please give me a metal

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no i understand now. thank you so much.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for the metal. Good luck with your studying.
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