Question

The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP

Answer 1

The length of it's side is 6.5 cm.

Explanation:

Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.

To find the length of its side we apply the formula ; Volume of cube and then simplify .

Volume of cube = ( a )³

• Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .

plug the values

270 cm ³ = a³

Taking cube root of both side

`\small \sf \sqrt[3]{270 \: cm {}^(3) } = \sqrt[3]{a {}^(3) }`

6.4633 cm = a

Rewrite

a = 6.4633 cm

Round nearest to 1DP

a ≈ 6.5 cm

Hence , Length of it's side is 6.5 cm.

Answer 2

a ≈ 6.5 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Geometry

Volume of a Cube Formula: V = a³

• a is a side length

Explanation:

Step 1: Define

Identify

V = 270 cm³

Step 2: Solve for a

1. Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³
2. [Equality Property] Cube root both sides: 6.4633 cm = a
3. Rewrite: a = 6.4633 cm
4. Round: a ≈ 6.5 cm