Answer:
Step-by-step explanation:
We want to find the volume of the tent.
The tent is in the shape of triangular prism.
The tent is compose of two solid shapes
1. A rectangular prism
2. Triangular prism
The volume of the rectangular prisms
V = length × Breadth × Height
The parameters are
One of the rectangle is 8 by 5ft and the other side is 8 by 6ft. Then, the height of the rectangular prism is the common value of 8ft.
Length = 6ft, Breadth = 5ft and Height = 8ft
Then, the volume is
V_1 = 6 × 5 × 8
V_1 = 240ft³
The volume of the triangular prism
V_2 = base area × height
The parameters of the triangular prism
The base is a rectangular base 5 by 6ft.
The height of the triangular prism is 4ft
Then, the volume is
V_2 = 5 × 6 × 4 = 120ft³
Then, the total volume of the prism
V = 240 + 120 = 360ft³
The total volume of the tent is 360ft³.
