Question

Find the edge of a cube whose volume equals that of a cuboid whose
dimensions are 36 cm, 48 cm and 27 cm.
​

Answer 1

Step-by-step explanation:

side^3= 36*48*27

=36 cm

Answer 2

Answer:

• The edge of the cube is 36 cm.

Step-by-step explanation:

Given that:

Dimensions of a cuboid.

• Length = 36 cm
• Breadth = 48 cm
• Height = 27 cm

To Find:

• The edge of the cube.

Let us assume:

• The edge of the cube be x.

Formula used:

1. Volume of a cube = (Edge)³
2. Volume of a cuboid = (Length × Breadth × Height)

We have:

• Volume of a cube = Volume of a cuboid

Finding the edge of the cube:

⟶ x³ = 36 × 48 × 27

⟶ x³ = (3² × 4) × (4² × 3) × 3³

⟶ x³ = 3² × 4 × 4² × 3 × 3³

⟶ x³ = 3³ × 4³ × 3³

⟶ x³ = (3 × 4 × 3)³

Cancelling power.

⟶ x = (3 × 4 × 3)

⟶ x = 36

∴ The edge of the cube = 36 cm