Question

In the cube shown below, the difference in length between line segment QR and line segment PQ is approximately what percentage of the distance from P to R?

• A. 10%
• B. 20%
• C. 30%
• D. 40%
• E. 50%

Answer 1

The correct option is C

30%

Assume the side of the cube =5

Length of body diagonal = QR = 5$\sqrt{3}$

PQ= 5$\sqrt{2}$

QR-PQ $\approx$ 1.5

PR= 5

$\Rightarrow$Required percentage = $\frac{150}{5}$ = 30%