MATH SOLVE

3 months ago

Q:
# 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 Ã— 104 in, a width of 4.3 Ã— 103 in, and a height of 1.6 Ã— 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 Ã— 10b cubic inches, where a____ is and B is____ . The volume of the land written in standard form is____ cubic inches.

Accepted Solution

A:

Answer:a = 9.632 and b is 10 9.632*10^10 in^3 scientific form96,320,000,000 in^3 standard formStep-by-step explanation:To find volume of a rectangular prismV = 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 front1.4*4.3*1.6 =9.632Then we add the powers of 1010^(4+3+3)10^10The volume is 9.632*10^10 in^3a = 9.632 and b is 10In 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^396,320,000,000 in^3