Question

find the LA, SA, and volume of a triangular prism with a hypotenuse of 12m, short leg of 5m, and height of prism of 5m

Answer 1

The hypotenuse of the triangular surface will be given by the Pythagorean theorem;
c^2=a^2+b^2
c^2=5^2+12^2
c^2=25+144
c^2=169
c=13m
the LA is given by:
AL=(a+b+c)h
AL=(13+12+5)5
AL=30(5)
AL=150 m^2

SA:
SA=2(1/2bh)+(l*w)+(l*w)+(l*w)
SA=(5*12)+(5*5)+(5*13)+(5*12)
SA=60+25+65+60
SA=210 m^2

Volume:
V=(base area)*height
V=(1/2*5*12)*5
V=150 m^2