Kelsey correctly used the Fermi process and the following estimates to determine how many books would fill a railroad car.

A book is about 1 ft long, 12 ft wide, and 15 ft thick.
A railroad car is about 60 ft long, 10 ft wide, and 10 ft high.

Which equation could she have written?
6×1031×10−1=6×104
6×1031×10−1=6×102
6×1041×10−1=6×105
6×1041×10−1=6×103

Respuesta :

Answer:

6 x 10^4

Step-by-step explanation:

took the quiz

Kelsey could have written equation for the given condition as

6 × 10⁴ × 10 ⁻¹  = 6 × 10³

What is equation?

" An equation is defined as the representation of algebraic expression which shows the relation between  two quantities with the sign of equality."

Formula used

Volume of the cuboid = Length × width × height

According to the question,

Given,

Thickness of book = 15 feet thick

length of the book = 1 feet long

Width of the book = 12 feet wide

Height of railroad car = 10 feet high

length of the railroad car = 60 feet long

Width of the railroad car = 10 feet wide

Substitute the value in the formula we get,

Volume of a railroad car = 60 × 10 × 10

                                        = 6,000 ft³

                                       ⇒ 6 × 10⁴ × 10 ⁻¹  = 6 × 10³

Volume of a book = 1× 12 × 15

                              = 180 ft³

Number of books fill railroad = (6000 / 180)

                                                 = 33.33..

                                                 ≈ 33 books ( approximately)

Hence, Kelsey could have written equation for the given condition as

6 × 10⁴ × 10 ⁻¹  = 6 × 10³.

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