Question

A stack of identical 8-centimeter-by-10-centimeter rectangular playing cards is sitting on a table. The stack is 1 centimeter high and has a volume of 80 cubic centimeters. The table is bumped and the stack of cards is shifted so that the stack is no longer a right rectangular prism, but all of the cards are still part of the stack.

Which of the following statements are true of the shifted stack of cards? Select all that apply.

A) The shifted stack of cards has a volume of 80 cubic centimeters because it has the same base area and height.

B) The area of a card at any location in the stack remains the same.

C) The width of the stack from the leftmost edge to the rightmost edge will remain 10 centimeters because the volume is the same.

D) Cavalieri’s principle cannot be applied to the volume of the stack because the stack is a rectangular prism instead of a cylinder.

E) The area of the middle card in the stack is 40 square centimeters because it is half of 80.

Answer 1

Answer: A, B, C.

If the stack of cards are shifted so it is not straight, it still has everything the same.