Question

sam needs a new crate for his puppy, barney. the old crate, which is shaped like a rectangular prism, is 16 inches long, 9 inches wide, and 10 inches tall. barneys new crate is also shaped like a rectangular prism, but it is 24 inches long, 10 inches wide, and 12 inches tall. how many cubic inches larger is barneys new crate than his old crate? cubic inches

Explanation:

Step1: Calculate volume of old crate

The volume formula for a rectangular prism is $V = l\times w\times h$. For the old crate, $l = 16$, $w = 9$, $h = 10$. So $V_{old}=16\times9\times10 = 1440$ cubic - inches.

Step2: Calculate volume of new crate

For the new crate, $l = 24$, $w = 10$, $h = 12$. So $V_{new}=24\times10\times12=2880$ cubic - inches.

Step3: Find the difference in volumes

$V_{difference}=V_{new}-V_{old}=2880 - 1440=1440$ cubic - inches.

Answer:

1440