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A right rectangular prism is packed with cubes of side length fraction 1 over 8 inch. If the prism is packed with 16 cubes along the length, 8 cubes along the width, and 6 cubes along the height, what is the volume of the prism?

fraction 1 and 1 over 2 cubic inches

fraction 1 and 3 over 4 cubic inches

fraction 2 and 1 over 2 cubic inches

fraction 2 and 3 over 4 cubic inches

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mathstudent55

Answer:

1 1/2 in.³

Step-by-step explanation:

side of each cube = 1/8 inch

length = 16 × 1/8 in. = 2 in.

width = 8 × 1/8 in. = 1 in.

height = 6 × 1/8 in. = 3/4 in.

volume = LWH

volume = 2 in. × 1 in. × 3/4 in.

volume = 6/4 in.³ = 3/2 in.³

volume = 1 1/2 in.³

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