Question

Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17

Answer 1

4

Explanation:

Hi so basically you just convert the inches to decimals so

0.5 x 0.5 x 0.25 = 0.0625

Use a calculator to convert 0.0625 into fraction which is
`(1)/(16)`

Multiply
`(1)/(4)` by 3 =
`(1)/(64)`

Then multiply
`(1)/(16)` by
`(1)/(64)` = 4

Soo that was probably very confusing, but I hope it helps! :)

Plz click the Thanks button, I rrly appreciate it!

Answer 2

• length: 2 cubes
• width: 1 cube
• height: 2 cubes
• volume: 4 cubes

Explanation:

We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.

It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.

Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...

2 cubes × 2 cubes × 1 cube

As with any rectangular prism volume calculation, the volume is the product of the dimensions:

V = LWH = (2)(1)(2) = 4 . . . cubes

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For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.

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Additional comment

Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).