Question

Find the surface area of cube whose volume is 3375cm cube . Also find it's diagonals.
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Answer 1

Step-by-step explanation:

V = L cube

3375 = L cube

L = 3√3375

L = 15cm

Surface area of a cube = 6L square

Surface area of a cube =6×15×15 = 225×6 = 1350 cm square

Answer 2

Given:

✰ Volume of cube = 3375 cm³

To find:

✠ The surface area of cube.

✠ Diagonal of cube.

Solution:

First to calculate the surface area of cube we need to find length of edge of cube. To find the measure of length of edge of cube, we will use formula to calculate volume as we are already provided with the volume of cube.

Let's see how...

Steps:

✭ Volume of cube = a³ ✭

Putting the values,

➛ 3375 = a³

➛ a = ³√3375

➛ a = 15 cm

∴ The length of edge of cube = 15 cm

✭ Surface area of a cube = 6a² ✭

➛ Surface area of a cube = 6 × (15)²

➛ Surface area of a cube = 6 × 15 × 15

➛ Surface area of a cube = 1350

∴ The total surface area of cube = 1350 cm²

Now, we will calculate diagonal by using formula.

✭ Diagonal of cube = √3 a ✭

➛ Diagonal of cube = √3 × 15

➛ Diagonal of cube = 25.98

∴ The diagonal of cube = 25.98 cm