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?
Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.
Yes, because the figures are congruent.
No, because the cross-sectional areas are not the same.
No, because only the bases have the same area, not every cross section at every level parallel to the bases.
Stacey Warren - Expert brainly.com
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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
so it the answer would be b?
The volume are the same however they do not have the same shape 1 is more rectangular. I would say the answer is A.
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would you like a better explanation
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
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.
Also any cross-sentional area parallel to the base will have the same area as the base
making A true
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
would you still like more explanation
Also could you please give me a metal
no i understand now. thank you so much.
Thanks for the metal. Good luck with your studying.