Question

Find the volume, total surface area, lateral




surface area and the length of the diagonal of a cube,

each of whose edge’s measures 10 cm

​

Answer 1

Answer:

17.3 m

Step-by-step explanation:

It is given that each edge of a cube = 10m We know that

Volume of cube = a3

By substituting the values

Volume of cube = 10×10×10

So we get

Volume of cube = 1000 m3

We know that

Lateral surface area of cube = 4a2

By substituting the values

Lateral surface area of cube = 4 × 10×10

So we get

Lateral surface area of cube = 4 × 100 = 400 m2

We know that

Total surface area of cube = 6a2

By substituting the values

Total surface area of cube = 6 × 100

So we get

Total surface area of cube = 6 × 100 = 600 m2

We know that Diagonal of cube = √3 a

By substituting the values

Diagonal of cube = 1.73 × 10 = 17.3m

Answer 2

Answer:

Given : -

• length of the diagonal of a cube, each of whose edge’s measures 10 cm

To Find : -

• the volume, total surface area, lateral surface area

Solution : -

$</p><p>\sf{Diagram }:$

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1 ) Volume :

→ Volume of a Cube = (edge)³

→ Volume of a Cube = 1000 m³

∴ Volume of the given cube is 1000 m³

2) Total Surface Area :

→ TSA of a Cube = 6 × (edge)²

→ TSA of a Cube = 6 × (10)²

→ TSA of a Cube = 600 m²

∴ Total Surface Area of the given Cube is 600 m²

3) Lateral Surface Area :

→ LSA of a Cube = 4 × (edge)²

→ LSA of a Cube = 4 × (10)²

→ LSA of a Cube = 400 m²

∴ Lateral Surface Area of given Cube is 400 m²

4) Length of the Diagonals :

We know that,

→ Length of diagonals of a Cube = √3(edge)

→ Length of Diagonals = √3(10)

→ Length of Diagonals = 17.3 m

∴ Length of diagonals of given Cube is 17.3 m.