Brianna is going camping this weekend, and needs to find the amount of space inside her tent. A triangular prism. 2 rectangular sides are 8 feet by 5 feet, and 1 side is 8 feet by 6 feet. The 2 triangular sides have a base of 6 feet and height of 4 feet. Find the volume of the tent and complete the statements.

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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.