Answer:
1. Lateral: 72 SA: 142
2. SA: 36 Lateral: 24
Explanation:
1. perimeter of base times the height
2l+2w x h
2(5) + 2(7) x 7
24 x 3 = 72
Surface area: A=2(wl+hl+hw)=2·(7·5+3·5+3·7)=142
2. Surface Area
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·2+4·2+3·2+1
2·﹣54+2·(5·4)2+2·(5·3)2﹣44+2·(4·3)2﹣34
=36
Lateral: A=(a+b+c)h=(5+4+3)·2=24