Respuesta :

Space

Answer:

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

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

Answer:

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

[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]

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.