Question

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tent
Enter your answer in the box.

Answer 1

Answer:

141.4 cm

Step-by-step explanation:

Refer to the notations in the attached photo,

AG = d

Using Pythagoras Theorem:

In triangle ABC,

AC

=$\sqrt{ {60}^{2} + {80}^{2} }$

=$\sqrt{3600 + 6400}$

=$\sqrt{10000}$

= 100 cm

∴ AC is 100 cm.

In triangle ACG,

d

=$\sqrt{ {100}^{2} + {100}^{2} }$

=$\sqrt{10000 + 10000}$

=$\sqrt{20000}$

= 141.4 cm (cor. to the nearest tenth)