Question

find total surface area of cube whose volume is 343 cm cube

Answer 1

Heya user !!

Here's the answer you are looking for

Let the side of the cube be a

Volume = a³ = 343

$a = \sqrt[3]{343} = 7$

So side of the cube is 7cm.

Total surface area = 6a² = 6(7)² = 6(49) = 294cm²



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Answer 2

Total surface area of the cube is 294 cm² whose volume is 343 cm cube

Given:

• Volume of a cube = 343 cm³

To Find:

• Total Surface area of the cube

Solution:

• Volume of a cube = a³
• Total Surface Area (TSA) of a cube = 6a²
• where a is the edge length of the cube

Step 1:

Assume that edge length of cube is a cm

Step 2:

Find volume of cube and equate with 343 cm³  and solve for a

a³ = 343

=> a³ = 7³

=> a = 7  cm

Step 3:

Use formula for TSA  and substitute a = 7 cm

TSA = 6a²

TSA = 6(7)²

TSA = 294 cm²

Total surface area of the cube is 294 cm² whose volume is 343 cm cube