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

Answer 1

they have the same base area

Answer 2

you know where are the bases are right?

Answer 3

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

Answer 4

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?

Answer 5

i got it thank you @yamyam70

Answer 6

Goodjob :)