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

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Hồng Cúc 5 months 2021-08-15T01:16:58+00:00 2 Answers 14 views 0

Answers ( )

    0
    2021-08-15T01:18:14+00:00

    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

     \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.

    0
    2021-08-15T01:18:26+00:00

    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

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