Question : The base of a solid right prism of height 10 cm is a square and its volume is 160 cm3. What is the total surface area of the prism (in cm2)?
Option 1: 200
Option 2: 176
Option 3: 192
Option 4: 180
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Correct Answer: 192
Solution : The volume of the prism = base Area × height ⇒ 160 = area of base × 10 ⇒ Area of base = 16 ⇒ Side 2 = 16 ⇒ Side of the square = 4 Now, Toral surface area of the prism = 2 × (base area) + lateral area = 2 × 16 + 4 × side of the square × height of the prism = 32 + 4 × 4 × 10 = 160 + 32 = 192 cm 2 Hence, the correct answer is 192.
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