The geometric solid is a prism with a triangular base. The volume is calculated by multiplying the area of the base (24 square inches) by the height (10 inches), resulting in 240 cubic inches.
The geometric solid in the image is a prism with a triangular base. To find the volume, we need to know the area of the base and the height of the prism.
The area of the triangular base is calculated as follows:
Area of Triangle = (1/2) * Base * Height
The base of the triangle is 8 inches, and the height is 6 inches. Therefore, the area of the triangle is:
Area of Triangle = (1/2) * 8 inches * 6 inches = 24 square inches
The height of the prism is 10 inches. Therefore, the volume of the prism is calculated as follows:
Volume of Prism = Area of Base * Height
Volume of Prism = 24 square inches * 10 inches = 240 cubic inches
Therefore, the volume of the geometric solid in the image is 240 cubic inches.