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
Answers
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:
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