Question

For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6 cubic inches of chocolate. Dorothy plans to make chocolate pyramids with a square base of 1 square inch and a height of 2 inches. What is the largest number of pyramids she can make from the 20 bars of chocolate?

Answer 1

She has 20 chocolate bars. Each chocolate bar contains 6 cubic inches of chocolate. So she must have a total of 20 * 6 = 120 cubic inches of chocolate.

The volume of a square pyramid is:

$\sf\dfrac{1}{3}s^2h$

Where 's' is the length of the base and 'h' is the height. However, we are given the area of the base(1 square inch) and the height(2 inches). $\sf s^2$ represents the area of the base, so we can just replace '1' with this.

$\sf\dfrac{1}{3}(1)(2)$

Multiply:

$\sf\dfrac{2}{3}$

So the area of one square pyramid is 2/3 of a cubic inch. We can divide this to the total amount we have to find out how many she can make:

$\sf 120\div\dfrac{2}{3}$

Flip the fraction and multiply:

$\sf 120\cdot\dfrac{3}{2}$

$\sf\dfrac{360}{2}$

Divide:

$\boxed{\sf 180}$

So she can make 180 pyramids from the 20 bars of chocolate.

Answer 2

Answer:

180 if your using plato, i just took the test and got it right. :)