Question

A scale model of an office building is 3' x 2' x 5' (length, width, height). If the actual building has a length of 45 feet, what is the volume of the actual building?

Answer 1

(3x15) x (2x15) x (5x15) = 101,250

Answer 2

Actual volume is:

101250 cubic feet

Explanation:

scale model of an office building is 3' x 2' x 5' (length, width, height)

Actual length of building=45 feet

that means 3' is equivalent to 45 feet

i.e. 1' is equivalent to 15 feet

actual length=3×15 feet

actual width=2×15 feet

actual height=5×15 feet

actual volume=length×width×height

= 3×15×2×15×5×15

= 101250 cubic feet

Hence, actual volume is:

101250 cubic feet