The base of a solid right prism of height 10 cm is a square and its vo

1.	The base of a solid right prism of height 10 cm is a square and its volume is 160 cm3. What is its total surface area of the prism (in cm2)?1. 1762. 2003. 1924. 180
Answer» Correct Answer - Option 3 : 192 Given :- Base of prism is square Height of prism = 10 cm Volume of prism = 160 cm³ Concept :- Concept of prism is based on cylinder Total surface area of prism = Curved/lateral surface area + (2 × Base area) Volume of prism = Base area × height Curved surface area of prism = Base perimeter × Height Area of square = side² Perimeter of square = 4 × side Calculation :- ⇒ 160 = Base area × 10 ⇒ Base area = (160/10) ⇒ Base area = 16 cm² As base of prism is square so, ⇒ 16 = side² ⇒ Side = √16 = 4 cm ⇒ Perimeter of base = 4 × 4 = 16 cm Now ⇒ Curved surface area = 16 × 10 = 160 cm² ⇒ Total surface area = 160 + (2 × 16) ⇒ Total surface area = 160 + 32 = 192 cm² ∴ Total surface area is 192 cm²

The base of a solid right prism of height 10 cm is a square and its volume is 160 cm3. What is its total surface area of the prism (in cm2)?1. 1762. 2003. 1924. 180

Answer» Correct Answer - Option 3 : 192

Given :-

Base of prism is square

Height of prism = 10 cm

Volume of prism = 160 cm³

Concept :-

Concept of prism is based on cylinder

Total surface area of prism = Curved/lateral surface area + (2 × Base area)

Volume of prism = Base area × height

Curved surface area of prism = Base perimeter × Height

Area of square = side²

Perimeter of square = 4 × side

Calculation :-

⇒ 160 = Base area × 10

⇒ Base area = (160/10)

⇒ Base area = 16 cm²

As base of prism is square so,

⇒ 16 = side²

⇒ Side = √16 = 4 cm

⇒ Perimeter of base = 4 × 4 = 16 cm

Now

⇒ Curved surface area = 16 × 10 = 160 cm²

⇒ Total surface area = 160 + (2 × 16)

⇒ Total surface area = 160 + 32 = 192 cm²

∴ Total surface area is 192 cm²

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