1.

The volume and base area of a square prism are 3600 cubic centimetre and 144 cm2 respectively. What is its total surface area ?

Answer»

Volume of the prism = 3600 cm3

Base area × height = 3600 cm3

144 × height = 3600

height = 3600/144 = 25 cm

Surface area = Base area + Lateral surface area

Lateral surface area = Base perimeter × height

= 12 × 4 × 25 = 1200 cm2

(Base area = 144, One side = √144 = 12 cm)

Total surface area = 144 + 1200 = 1344 cm2



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