Maths · Distance formula, sections formula, locus and its equation
Four cubic blocks with edge were kept two on top of two and fused together into
Four cubic blocks with edge \( 4 \mathrm{cm} \) were kept two on top of two and fused together into a block as shown. Find the total surface area of the block and the \( \operatorname{cost} \) of painting it at \( R s .32 \) per \( c m^{2} \) \begin{tabular}{|c|c|} \hline 1 & 2 \\ \hline 3 & 4 \\ \hline \end{tabular}
- A. \( R s .8992 \)
- B. \( R s .8092 \)
- C. \( R s .8192 \)
- D. \( R s .8190 \)
Step-by-step solution
The four cubes of side 4 cm are arranged to form a rectangular prism of dimensions 8 cm × 8 cm × 4 cm (or 8 cm × 4 cm × 8 cm). Total surface area = 2(lb + bh + hl) = 2(8×8 + 8×4 + 8×4) = 2(64 + 32 + 32) = 2(128) = 256 cm². Cost of painting = 256 × 32 = Rs.8192.
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