Question

3) Bella received a large cube of chocolate as a wedding gift. The cube is 12 centimeters in height. She wants to share it with Edward equally, so she cuts the cube in half to make two congruent triangular prisms. What is the volume of one of the triangular prisms? HELP ME!!

the answers could either be:
1728 cubic centimeters
144 cubic centimeters
72 cubic centimeters
864 cubic centimeters

Answer 1

Explanation:

To find the volume of one of the triangular prisms, we first need to find the volume of the original cube and then divide it by 2.

The volume of the cube is:

V = s^3, where s is the length of one side of the cube.

Since the cube is 12 cm in height and all sides are congruent, we have:

V = s^3 = (12 cm)^3 = 1,728 cubic centimeters

To find the volume of one of the triangular prisms, we divide the volume of the cube by 2:

V_triangular prism = V_cube / 2 = 1,728 cubic centimeters / 2 = 864 cubic centimeters

Therefore, the answer is 864 cubic centimeters.