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থিম নির্বাচন

আপনার পছন্দের থিম বেছে নিন।

Instructions: DO NOT USE CALCULATOR. Figures are not drawn to scale. A piece of wood measuring \(3cm \times 3cm \times 2cm\) is divided into 18 square shaped cubes of identical shape. What is the total surface area of all the identical cubes (in cm³)?

A. 42
B. 48
C. 96
D. 108
E. none of these
Explanation: (D) Total volume of the piece of wood = \(3 \times 3 \times 2 = 18 \text{ cm}^3\). The piece is divided into 18 identical cubes. Volume of each small cube = \(\frac{18}{18} = 1 \text{ cm}^3\). Since the cube is square-shaped, the side length \(a\) of each small cube is \(\sqrt[3]{1} = 1 \text{ cm}\). Surface area of one small cube = \(6a^2 = 6 \cdot 1^2 = 6 \text{ cm}^2\). Total surface area of 18 identical cubes = \(18 \times 6 = 108 \text{ cm}^2\).