Question

lesson 12 checkpoint
the length, width, and height of a wooden crate are 1 m, 3 m, and 2 m.
what is the maximum number of such crates that can be transported in a cargo ship with a storage hold that has a volume of 72,000 m³?
12,000
24,000
6000
1200

Explanation:

Step1: Calculate crate volume

The volume of a rectangular - shaped crate with length $l = 1m$, width $w = 3m$, and height $h = 2m$ is given by the formula $V_{crate}=l\times w\times h$. So, $V_{crate}=1\times3\times2 = 6m^{3}$.

Step2: Calculate number of crates

The volume of the cargo - ship's storage hold is $V_{ship}=72000m^{3}$. To find the number of crates $n$ that can fit in the ship, we use the formula $n=\frac{V_{ship}}{V_{crate}}$. Substituting the values, we get $n=\frac{72000}{6}=12000$.

Answer:

12,000