A fish tank in the shape of a rectangular prism holds 30 cubic feet of water .the tank has a length of 5 feet and width of 3 feet . What is the length in depth,in feet ,of the tank ? A-2
B-6
C-10
D-15

Respuesta :

Answer:

A - 2 feet

Step-by-step explanation:

We know that the tank is a rectangular prism which means the volume is equal to length*width*depth

since the tank can hold 30 cubic feet of water, we can divide 30 by the given dimensions of the length and width to find the depth

30/5 = 6

6/3 = 2

therefore, the depth of the tank has to be 2 feet (A)

  • The formula to find the volume of a rectangular prism is

        Length x Width x Depth

From the question:

Volume of the rectangular prism = 30 cubic feet

Length of the rectangular prism = 5 feet

Width of the rectangular prism = 3 feet

Depth of the rectangular prism = ?

  • The formula to find the Depth of the rectangular prism is :

        Depth = Volume / (Length x Width)

Hence,

Depth = 30 cubic feet / 5 feet  x 3 feet

Depth = 30/ 15

Depth = 2 feet

The correct option is option A

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