Question

I need help with this last question.

A tent has the shape of a triangular prism. Its volume is 25 m cube.
Find one possible whole-number dimension of the prism.
Calculate the surface area of the prism.

Answer 1

Explanation:

length=1 m

base of triangle=10 m

height=5m

volume= 1/2×10×5×1=25 m cube.

slant height l=√(5²+5²)=√50=5√2

slant surface area=2[5√2×1]=10√2

area of front and back=2×1/2(10×5)=50

total surface area=50+10√2≈50+14.14≈64.14 m²