Multiple choice

Base of a prism of height 10 cm is square. Total surface area of the prism is 192 sq. cm. The volume of the prism is

  1. $640 cm3$
  2. $120 cm3$
  3. $90 cm3$
  4. $160 cm3$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a square prism with base side x and height 10, surface area = 2x² + 4(x)(10) = 2x² + 40x = 192. This gives x² + 20x - 96 = 0, so (x + 24)(x - 4) = 0, hence x = 4. Volume = base area × height = x² × 10 = 16 × 10 = 160 cm³.

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