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PLSSS HELPP

This figure represents the base of a fish tank that is 8 inches high.


What is the volume of the fish tank?


Responses


378 in³

378 in³


408 in³

408 in³


480 in³

480 in³


768 in³

PLSSS HELPP This figure represents the base of a fish tank that is 8 inches high What is the volume of the fish tank Responses

Answer :

The volume of the fish tank is 408in³

What is volume?

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The volume of regular object is given as;

V = base area × height

base area = 13 × 6

= 78in²

The area of the cut out section = 1/2(a+b) h

= 1/2 × (3+6) × 6

= 9× 3 = 27in²

The actual area of the base shown = 78-27

= 51 in²

therefore the volume of the tank will be

V = 51 × 8

= 408in³

therefore the volume of the tank is 408in³

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