Question

Find the volume. Explain if you can! Thanks.

Answer 1

Answer:

As a mixed number, the volume is 60 & 5/8 cubic inches

As a decimal number, the volume is 60.625 cubic inches

Both represent the same thing, just written in a different format.

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Work Shown:

1/8 = 0.125

12 & 1/8 = 12 + 1/8 = 12 + 0.125 = 12.125

1/4 = 0.25

1 & 1/4 = 1 + 1/4 = 1 + 0.25 = 1.25

The block has dimensions:  4 in by 1.25 in by 12.125 in

The volume of a rectangular block is the product of the length, width and height.

volume = length*width*height

volume = 4*1.25*12.125

volume = 60.625

Let's convert the result to a mixed number

60.625 = 60 + 0.625

60.625 = 60 + 625/1000

60.625 = 60 + (5*125)/(8*125)

60.625 = 60 + 5/8

60.625 = 60 & 5/8

Using a calculator, note that 5/8 = 0.625

The units for the volume are in cubic inches

(inch)*(inch)*(inch) = (inch)^3 = cubic inches