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

Question

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

in progress 0
1 year 2021-08-15T01:16:58+00:00 2 Answers 50 views 0

The length of it’s side is 6.5 cm.

Step-by-step 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

$$\small \sf \sqrt{270 \: cm {}^{3} } = \sqrt{a {}^{3} }$$

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.

a ≈ 6.5 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
7. Subtraction
• Left to Right

Equality Properties

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

Geometry

Volume of a Cube Formula: V = a³

• a is a side length

Step-by-step 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