Question

The volume of a cube is 343 cm3

. Find the lateral surface area and total surface area of the cube​

Answer 1

Given:-

• Volume of the cube = 343 cm³

To Find:-

• The lateral surface area of the cube
• The total surface area of the cube

Solution:-

We know,

✭ Volume of cube = (side)³

Hence,

343 = (side)³

=> side = ∛343

=> side = 7 cm

Therefore we got the side of cube as 7 cm.

Now,

We also know,

✭ Lateral Surface Area of cube = 4 × (side)².

Hence,

LSA of the cube = 4 × (7)²

=> LSA of the cube = 4 × 49 cm²

=> LSA of the cube = 196 cm²

Again,

We know,

✭ Total Surface Area of cube = 6 × (side)².

Hence,

TSA of cube = 6 × (7)²

=> TSA of cube = 6 × 49 cm²

=> TSA of cube = 294 cm²

Therefore,

Lateral Surface Area of the cube is 196 cm².

Total Surface Area of the cube is 294 cm².

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