isabel is designing a computer chip that is half the length and width of her companys current chip, but with…

isabel is designing a computer chip that is half the length and width of her companys current chip, but with more computing power. the current chip is 11.7 mm long, 8.6 mm wide, and 0.5 mm high. which is the best estimate for the volume of isabels chip? a) 7 mm³ b) 12 mm³ c) 27 mm³ d) 54 mm³

isabel is designing a computer chip that is half the length and width of her companys current chip, but with more computing power. the current chip is 11.7 mm long, 8.6 mm wide, and 0.5 mm high. which is the best estimate for the volume of isabels chip? a) 7 mm³ b) 12 mm³ c) 27 mm³ d) 54 mm³

Answer

Explanation:

Step1: Find new length and width

New length = $\frac{11.7}{2}\approx5.9$ mm, new width = $\frac{8.6}{2}=4.3$ mm, height remains 0.5 mm.

Step2: Calculate volume

Volume = length×width×height, so $V = 5.9\times4.3\times0.5$. $5.9\times4.3\times0.5=(6 - 0.1)\times4.3\times0.5=(6\times4.3-0.1\times4.3)\times0.5=(25.8 - 0.43)\times0.5 = 25.37\times0.5=12.685\approx12$ $mm^{3}$.

Answer:

B. 12 mm³