(x If you have rectangular box with length= 40cm width= 30cm . and height=70 cm what is the largest length stick that could fit inside the box (rounded to the nearest cm) ?

A

80 cm

B

86 cm

C

90 cm

D

96 cm

E

100 cm

1 answer

The largest length stick that could fit inside the box would be the diagonal of the box.

Using the formula for calculating the diagonal of a rectangular box:

Diagonal = √(length^2 + width^2 + height^2)
Diagonal = √(40^2 + 30^2 + 70^2)
Diagonal = √(1600 + 900 + 4900)
Diagonal = √(7500)
Diagonal ≈ 86.60 cm

Rounded to the nearest cm, the largest length stick that could fit inside the box is 87 cm.

Therefore, the correct answer is:

B) 86 cm