Question

Norm must pay to have trash collected he can put out 1 barrel of trash per week a rectangler container measure 32 inches by 18 inches by 10 inches And a cycling Rick container measure 30 inches high by 20 inches wide both are on sale for 9.99 which one holds the most trash

Answer 1

Answer:

The Cycling Rick container can hold more trash.

Step-by-step explanation:

The rectangular container is basically a rectangular prism, so to find its volume, we are using the formula for the volume of a rectangular prism:

$V=whl$

where

$V$ is the volume

$w$ is the width

$h$ is the height

$l$ is the length

We know that the rectangular container is 32 inches by 18 inches by 10 inches, so $l=32in$, $w=18in$, and $h=10in$. Let's replace the values in our formula:

$V=whl$

$V=(18in)(10in)(32in)$

$V=5760in^3$

The rectangular container can hold 5760 cubic inches of trash.

Now, the Cycling Rick container is basically a cylinder, so to find its volume, we are suing the formula for the volume of a cylinder:

$V=\pi r^2h$

where

$V$ is the volume

$r$ is the radius

$h$ is the height

We know that the its height is 30 inches, so $h=30in$. Since the container is 20 inches wide, its diameter is 20 inches, and since the radius is half the diameter, $r=\frac{20in}{2} =10in$. Let's replace the values:

$V=\pi r^2h$

$V=\pi (10in)^2(30in)$

$V=9424.78in^3$

The Cycling Rick container can hold 9424.78 cubic inches of trash.

Since 9424.78 cubic inches is bigger than 5760 cubic inches, we can conclude that the Cycling Rick container can hold more trash.