Question

A field is undergoing construction and needs land to be removed in the shape of a rectangular prism. The land to be removed has a length of 1.4 × 104 in, a width of 4.3 × 103 in, and a height of 1.6 × 103 in. Find the volume of the land in scientific notation and in standard form. Answers should not be rounded. The volume of the land written in scientific notation is a × 10b cubic inches, where a____ is and B is____ .

The volume of the land written in standard form is____ cubic inches.

Answer 1

a = 9.632 and b is 10

9.632*10^10 in^3 scientific form

96,320,000,000 in^3 standard form

Explanation:

To find volume of a rectangular prism

V = l*w*h

= 1.4 * 10^4 ( 4.3 * 10^3) (1.6* 10^3)

When multiply powers of 10, we multiply the numbers out front

1.4*4.3*1.6 =9.632

Then we add the powers of 10

10^(4+3+3)

10^10

The volume is 9.632*10^10 in^3

a = 9.632 and b is 10

In standard form we move the decimal 10 places to the right. If there are not enough numbers we add zeros

9.632*10^10 in^3

96,320,000,000 in^3