find the length of the space diagonal

Geometry Level pending

Shown above is a cube with surface area of 1350 square inches. Find the length of the space diagonal in inches to two decimal places.


The answer is 25.98.

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Hana Wehbi
Feb 9, 2018

The surface area of a cube is 6 s 2 = 1350 ⟹ s = 15 6s^2= 1350\implies s=15 , where s is the side of the cube.

Thus, d = 3 × 1 5 2 = 25.98 d=\sqrt{3\times 15^2}= 25.98

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...