Explanation:
To calculate the volume of the triangular prism, you need to find the area of the triangular base and then multiply it by the height of the prism.
The formula to find the area of a triangle is:
Area = (base * height) / 2
Plugging in the given values for the triangular base:
Area = (9 feet * 7 feet) / 2
= 63 square feet
Now, to find the volume of the prism, multiply the area of the base by the height of the prism:
Volume = Area * height
= 63 square feet * 15 feet
= 945 cubic feet
Therefore, the volume of their new tent is 945 ft³.