Ceramics possess the property of shrinkage, which consists of the evaporation of water existing in a ceramic set or block subjected to a certain elevated temperature: in its place appearing ``empty spaces'' that tend to approach each other. In the place previously occupied by water, gaps will remain and, consequently, the set tends to shrink. Consider that in the firing process, clay ceramics undergo a contraction in linear dimensions of 20\%. Taking into account the firing process and the contraction suffered, the volume V of a clay serving dish, with a cubic shape with edge a, decreases to a value that is (A) $20\%$ less than V, since the volume of the cube is directly proportional to the length of its side. (B) $36\%$ less than V, because the area of the base decreases from $\mathrm{a}^{2}$ to $((1-0.2)\mathrm{a})^{2}$. (C) $48.8\%$ less than V, because the volume decreases from $\mathrm{a}^{3}$ to $(0.8\mathrm{a})^{3}$. (D) $51.2\%$ less than V, because each side decreases to $80\%$ of the original length. (E) $60\%$ less than V, because each side decreases by $20\%$.
Ceramics possess the property of shrinkage, which consists of the evaporation of water existing in a ceramic set or block subjected to a certain elevated temperature: in its place appearing ``empty spaces'' that tend to approach each other. In the place previously occupied by water, gaps will remain and, consequently, the set tends to shrink. Consider that in the firing process, clay ceramics undergo a contraction in linear dimensions of 20\%.
Taking into account the firing process and the contraction suffered, the volume V of a clay serving dish, with a cubic shape with edge a, decreases to a value that is\\
(A) $20\%$ less than V, since the volume of the cube is directly proportional to the length of its side.\\
(B) $36\%$ less than V, because the area of the base decreases from $\mathrm{a}^{2}$ to $((1-0.2)\mathrm{a})^{2}$.\\
(C) $48.8\%$ less than V, because the volume decreases from $\mathrm{a}^{3}$ to $(0.8\mathrm{a})^{3}$.\\
(D) $51.2\%$ less than V, because each side decreases to $80\%$ of the original length.\\
(E) $60\%$ less than V, because each side decreases by $20\%$.