Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of the terrarium. Zach gets a new terrarium that is larger. The base of the new terrarium is 10 x 24 inches. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?

Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where
h------------> is the deep in the new terrarium
remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in

Answer Link

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-05-04T19:03:47+02:00

The sand will be 2 inches deep in the new terrarium if Zach keeps his pet chameleon Pinky in a terrarium with the dimensions of 8 x 20. there are three inches of sand at the bottom of the terrarium.

What is a cuboid?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have:

Old terrarium dimensions = 8 x 20 x 3

As the sand height is 3 inches

Volume of the old terrarium = 8 x 20 x 3 ⇒ 480 cubic inches

Let's suppose the height of the sand in the new terrarium is h inches

So;

The volume of the new terrarium = 10 x 24 xh ⇒ 240h cubic inches

Since the volume remains same;

480 = 240h

h = 2 inches

Thus, the sand will be 2 inches deep in the new terrarium if Zach keeps his pet chameleon Pinky in a terrarium with the dimensions of 8 x 20. there are three inches of sand at the bottom of the terrarium.

Learn more about the cuboid here:

brainly.com/question/9740924

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