Question

the length of the edge of the cube, a, is 8 in. find the length of the diagonal of the cube, d. round the answer to the nearest tenth. (1 point) 11.3 in. 8.0 in. 13.9 in.

Explanation:

Step1: Use the formula for the space - diagonal of a cube

The formula for the space - diagonal \(d\) of a cube with edge length \(a\) is \(d = a\sqrt{3}\).

Step2: Substitute the value of \(a\)

Given \(a = 8\) in, we substitute into the formula: \(d=8\sqrt{3}\).

Step3: Calculate the value

We know that \(\sqrt{3}\approx1.732\), so \(d = 8\times1.732=13.856\).

Step4: Round to the nearest tenth

Rounding \(13.856\) to the nearest tenth gives \(13.9\).

Answer:

\(13.9\) in.