Answer: Volume of solid = 700 ft^3
Explanation:
The solid figure can be sectioned into 2 parts; a rectangular prism and a triangular prism.
Considering the rectangular prism, the formula for calculating the volume is
Volume = length x width x height
From the diagram,
length 10
height = 10
width = 5
Volume of rectangular prism = 10 x 10 x 5 = 500
Considering the triangular prism, the formula for calculating the volume is
Volume = base area x length
The base is a triangle
Area of triangle = 1/2 base x height
From the diagram,
base = 10
height = 8
Base area = 1/2 x 10 x 8 = 40
Length = 5
Volume of triangular prism = 40 x 5 = 200
Thus,
Volume of solid = 500 + 200
Volume of solid = 700 ft^3
