Question

A solid is 21.1 mm long, 14.2 mm wide, and 12.1 mm high. What is its volume in cubic centimetres?

Answer 1

`"3.63 cm"^3`

Explanation:

The formula for the volume of a rectangular solid is

`color(blue)(bar(ul(|color(white)(a/a) V = lwh color(white)(a/a)|)))" "`

`V = 21.1 color(red)(cancel(color(black)("mm"))) × 14.2 color(red)(cancel(color(black)("mm"))) × 12.1 color(red)(cancel(color(black)("mm"))) × ("1 cm"/(10 color(red)(cancel(color(black)("mm")))))^3 = "3.63 cm"^3`