12.2 Cuboids and Cubes: The Basics Revisited

Key Formulas

Solved Examples

Step 1

Analyze Cube: Volume of cube $V = a^3 = 64$ . So $a = \sqrt[3]{64} = 4$ cm.

Step 2

Analyze Joining: When two cubes are joined end-to-end, they form a cuboid.

Length $l = 4 + 4 = 8$ cm.
Breadth $b = 4$ cm (unchanged).
Height $h = 4$ cm (unchanged).

Step 3

Calculate TSA: $TSA = 2(lb + bh + hl)$ . $TSA = 2(8\times4 + 4\times4 + 4\times8) = 2(32 + 16 + 32) = 2(80) = 160$ .

Step 4

Unit: Area is in cm².

Final Answer

160 cm²

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