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:

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

Answer 2

Answer:

Volume = l×b×h

Height h = 6 cm

Here base is a square that means length and breadth are equal.

Volume = l × b × h

3750 = l × l × 6

l^2 = 3750/6

l^2 = 625

l = 25