Surface area of the tent not including the floor = 2,336 ft²
Volume of the triangular prism tent = 6,720 ft³
How to Find the Surface Area and Volume of a Triangular Prism?
The tent has a shape of a triangular prism. Therefore:
Surface area of the tent not including the floor = PL + bh - (a × c) where,
P = perimeter of the triangular face of the tent = 14 + 25 + 25 = 64 ft
L = length of the triangular prism tent = 40 ft
b = base length of the triangular face = 14 ft
h = height of the triangular face = 24 ft
a = length of the rectangular floor = 40 ft
c = width of the rectangular floor = 14 ft
Surface area of the tent not including the floor = (64)(40) + (14)(24) - (40 × 14)
Surface area of the tent not including the floor = (2560) + (336) - (560)
Surface area of the tent not including the floor = 2,336 ft²
Volume of the triangular prism tent = 1/2 × 14 × 24 × 40
Volume of the triangular prism tent = 7 × 24 × 40
Volume of the triangular prism tent = 6,720 ft³
Learn more about triangular prism on:
https://brainly.com/question/1284982
#SPJ1
