Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There are 333 inches of sand in the bottom of the terrarium. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 101010 by 242424 inches. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?
Answers
Given : Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 20 * 8 inch of base . 3 inches of sand in the bottom of the terrarium . new terrarium is 10 by 24 inches
To find : How deep will the sand be in the new terrarium
Solution:
Existing Terrarium Base = 20 * 8
Sand Height = 3 inch
Volume of Sand in Terrarium
= 20 * 8 * 3
= 480 inch³
New Terrarium Base = 10 * 24
Let say Height of Sand in New terrarium = h inches
Volume of Sand = 10 * 24 * h
= 240 h inch³
240 h = 480
=> h = 2
Sand will be 2 inch deep in new terrarium
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