The area of the base of a right prism whose base is
an equilateral triangle is 9/3 cm. If the height of
the prism is 12 cm, then what is its lateral surface
area?
(a) 212 cm
(b) 21 cm
(d) 222 cm
(c) 216 cm
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Step-by-step explanation:
Lateral surface area of prism = 120
base perimeter × heiht = 120
3×(side)×height=120
(Perimeter of eq.△=3×side)
Side×height=1203=40.....(i)
Volume of prism =403–√
Area of base × height = 403–√
3√4(side)2×height=403–√
(side)2×height=403–√×43–√
=160......(ii)
Dividing (ii) by (i)
(side)2×heightside×height=16040
side=4cm
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