1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# What is the longest diagonal of a rectangular box that is 120 inches long, 90 inches wide, and 80 inches tall ?

A
170
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
120
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
150
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
190
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 170Using the Deluxe Pythagorean theorem, calculate the length of the diagonal:1202+902+802=d2Note: to make the math easier, drop a 0 from each number-but don't forget to put it back in later!122+92+82=d2144+81+64=d2289=d217=d Don't forget to put the zero back in! d=170 inchesAlternatively, you can find the diagonal of this rectangular solid by applying the Pythagorean Theorem twice. First, find the diagonal across the bottom of the box:1202+902=c2 You might recognize this as a multiple of the common 14,400+8,100=c2 3-4-5 right triangle. c2=22,500c=150Next, find the diagonal of the rectangular box:802+1502=c2 You might recognize this as a multiple of the common6,400+22,500=c2 8-15-17 right triangle. c2=28,900c=170

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Total Surface Area of a Cuboid
MATHEMATICS
Watch in App
Join BYJU'S Learning Program