Carcass wrote:
To pack her books, Rebekka requires a cube-shaped box with a volume of at least 2 cubic feet. Which of the following amounts could be the length of the edge of her box, in feet?
Indicate all such values.
1.1
1.2
1.3
1.4
1.5
Volume of a cube with edge length as \(a\) is \(a^3\)
We know, \(a^3 ≤ 2\)
i.e. \(a ≤ 2^{\frac{1}{3}}\)
Now, we can't find cube-root using the GRE's given on-screen calculator. What do we do?
Simply multiply each option thrice - it should be less than or equal to 2
A. (1.1)(1.1)(1.1) = 1.331
B. (1.2)(1.2)(1.2) = 1.728C. (1.3)(1.3)(1.3) = 2.197We don't need tosolve any further as option D and E, both will be greater than 2
Hence, option A and B