The volume of a box is 3750 cm^3.if its height is 6 cm and its base is a square,find the length of a side of the base​

2 thoughts on “The volume of a box is 3750 cm^3.if its height is 6 cm and its base is a square,find the length of a side of the base​”

1. Answer:

   • The length of a side of the base is 25 cm.

   Step-by-step explanation:

   Given that:

   • The volume of a box is 3750 cm³.
   • Height of a box is 6 cm.
   • Its base is a square.

   To Find:

   • The length of a side of the base.

   Let us assume:

   • The length of a side of the base be x.

   Formula used:

   Volume = Area of square base × Height

   Volume = Side × Side × Height

   Finding the length of a side of the base:

   According to the question.

   ⟶ 3750 = x × x × 6

   ⟶ 3750 = 6x²

   ⟶ x² = 3750/6

   ⟶ x² = 625

   ⟶ x = √625

   ⟶ x = 25

   ∴ The length of a side of the base = 25 cm

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2. Answer:

   25cm

   Step-by-step explanation:

   Volume of cuboid = l×b×h

   Acc. to Question,

   Length and breadth are same

   So, let both of them be x

   So, x×x×6 = 3750

   or, x² = 3750/6 = 625

   x = √625 = 25

   Hence, length = 25cm

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