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
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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