Question

If you made a stack of nickels 100 inches tall, how many nickels will you need

Answer 1

In US usage, nickel is a five cent coin, struck by the United States Mint. It is composed of 75% copper, and 25% nickel, and is issued since 1866. It has a diameter of 21.21mm or 0.835 inch, and a thickness of 1.95mm or 0.077inch. To make a bunch of coins, tall 100 inches, we'll need 1299 coins, when it's the case, with five cents coins. Quarter, for example, has different dimensions, as well as thickness, so the number of coins will be different.

Answer 2

The number of nickels coins that are needed to made a stack of 100 inches tall is $\boxed{1299}.$

Further explanation:

Given:

The stack of nickels is 100 inches tall.

Explanation:

$\boxed{1{\text{ dime}} = \ 0.10}.$

$\boxed{1{\text{ dime}} = \ 0.10}.$

$\boxed{1{\text{ quarter}} = \ 0.25}.$

A nickel is 5 cents.

The nickel is a cylindrical shape coin.

The thickness or height of the nickel coin is $0.077{\text{ inch}}.$

The diameter of the nickel coin is $0.835{\text{ inch}}.$

The radius of the nickel coin can be obtained as follows,

$\begin{aligned}{\text{Radius}} &= \frac{{0.835}}{2}\\&= 0.4175{\text{ inches}} \\\end{aligned}$

The number of nickels coins that are needed to made a stack of 100 inches tall can be obtained as follows,

$\begin{aligned}{\text{Number of coins}} \times {\text{thickness of coin}} &= 100{\text{ inches}} \\n\times 0.077 &= 100\\n&= \frac{{100}}{{0.077}} \\n&= 1298.70\\n &= 1299\left( {{\text{approximately}}} \right) \\\end{aligned}$

The number of nickels coins that are needed to made a stack of 100 inches tall is $\boxed{1299}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomial

Keywords: nickels, dimes, quarters, coin, number of quarters, stack, 100 inches tall, thickness.