A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?
A.
Yes, because they have the same height and the same cross sectional area at every level parallel to the bases.
B.
Yes, because they are congruent solids.
C.
No, because Cavalieri's principle only applies to solids with congruent cross sections.
D.
No, because they have different dimensions

Question

A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimensions of 3 cm and 4 cm. Do the solids have the same volume?
A.
Yes, because they have the same height and the same cross sectional area at every level parallel to the bases.
B.
Yes, because they are congruent solids.
C.
No, because Cavalieri's principle only applies to solids with congruent cross sections.
D.
No, because they have different dimensions

yamyam70 · Answer

they have the same base area

yamyam70 · Answer

you know where are the bases are right?

yamyam70 · Answer

calculating for the area of the rectangle, 3 cm times 4 cm = 12cm ^2

yamyam70 · Answer

so they have the same base area, and they also have the same height which is 10 
so is the volume the same? 

Think about it this way, If I will fill these objects with water that has the same height and the same base area, will the amount of water be equal to each other?

anonymous · Answer

i got it thank you @yamyam70

yamyam70 · Answer

Goodjob :)