Question

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​

Answer 1

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

Answer 2

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