Answer:
Find the volume of a triangular prism by using the formula
✔ V = Bh
.
Use the base and height to calculate the area of the
✔ triangle
base, B.
The volume of the tent is
✔ 96
ft3.
Step-by-step explanation:
Find the volume of a triangular prism by using the formula
Volume of a triangular prism = area of base triangle × length of the prism .
Use the base and height to calculate the area of the triangular base, B.
The volume of the tent is 96 ft3.
A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges. If the sides are rectangular, then it is called the right triangular prism else it is said to be an oblique triangular prism.
Based on the given information, the tent is a right triangular prism.
The dimensions of the rectangles are:
two of the rectangles have the dimension [tex]8ft \times 5ft[/tex]
the base rectangle has the dimension [tex]8ft \times 6ft[/tex]
The dimensions of the triangles are:
base = 6ft
height = 4 ft
Volume of a triangular prism = area of base triangle × length of the prism
[tex]V=\frac{1}{2} \times b\times h \times l\\\\V=\frac{1}{2} \times 6\times 4 \times 8\\\\V=96[/tex]
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