Question

17) A spider has taken up residence in a small cardboard

box which measures 8 inches by 5 inches by 4 inches.
The spider travels from the lower right front corner of
the box to the upper left back corner of the box.
What is the length, in inches, that the spider travels?
Show your work and use mathematical vocabulary
to explain your reasoning.
4
8

Answer 1

13.4 inches

Explanation:

Firstly you should calculate the diagonal of lower square using pythahoras theorem

I.e diagonal = (89)^1/2

Now calculate distance by simple arithmetic

X=Xx + Xy

= (89)^1/2 + 4

= 13.4

Answer 2

√105 inches

Explanation:

The diagonal of the bottom is the hypotenuse of a right triangle with legs measuring 5 and 8.

a² + b² = c²

5² + 8² = c²

c² = 89

c = √89

The path of the spider is the hypotenuse of a right triangle whose legs measure √89 and 4.

a² + b² = c²

(√89)² + 4² = c²

89 + 16 = c²

c² = 105

c = √105