Question

If the solid shown below is half of a cube that has been cut in half along the diagonal, from one edge to the opposite edge, what is its volume? F. 4 G. 4\sqrt(2) H. 8 J. 8\sqrt(2) K. 12

Answer 1

The volume of the given shape is 4 cubic units.

Step-by-step explanation:

The solid shown is half of a cube that has been cut in half along the diagonal, resulting in a triangular prism. To find the volume of the prism, we need to find the area of the base triangle and multiply it by the height. Since the base triangle is a right triangle with legs of length 2, the area is (1/2) * base * height = (1/2) * 2 * 2 = 2 units². The height of the prism is also 2 units. Therefore, the volume is 2 * 2 = 4 cubic units.

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