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21. the volume of a number cube is 0.343 cubic inches. a. what is the e…

Question

  1. the volume of a number cube is 0.343 cubic inches.

a. what is the edge length of the number cube?
b. what is the surface area of the number cube?

Explanation:

Step1: Find edge length from volume

Volume of cube: $V = s^3$, so $s = \sqrt[3]{V}$.
$s = \sqrt[3]{0.343} = 0.7$ inches

Step2: Calculate surface area of cube

Surface area formula: $SA = 6s^2$.
$SA = 6\times(0.7)^2 = 6\times0.49 = 2.94$ square inches

Answer:

a. 0.7 inches
b. 2.94 square inches