Question

11.The volume of a cubic box is 10 to the power of 6 cubic millimeters. Write the volume in standard form.

11a) How long is each side of the box?(Hint: The length, width,and height of a cube are equal}

Answer 1

The volume of the cubic box in standard form is
`1.0 x 10^6` cubic millimeters. Each side of the box is approximately 100 millimeters long.

Step-by-step explanation:

To write the volume of a cubic box in standard form, we express it in scientific notation.

The volume of the cubic box is 106 cubic millimeters, which can be written as
`1.0 x 10^6`cubic millimeters.

In standard form, the volume is expressed as a number between 1 and 10 multiplied by a power of 10.

Since the length, width, and height of a cubic box are equal, we can find the length of each side by taking the cube root of the volume.

Taking the cube root of
`1.0 x 10^6` cubic millimeters gives us approximately 100 millimeters.

Therefore, each side of the box is approximately 100 millimeters long.

Answer 2

Volume of Cubic Box = 10⁶ mm³

10 * 10 * 10 * 10 * 10 * 10 = 1,000,000 mm³ STANDARD FORM

Volume of Cubic Box = Length * Width * Height
1,000,000 mm³ = sides³
∛1,000,000 mm³ = ∛sides³
100 mm= sides

Length, width, and height is measured at 100 mm each.