Question

a cardboard box is 67 cm long, 51 cm wide, and 66 cm tall. a) round all given numbers to the nearest ten. then, estimate the volume in metric units. (use v = lwh.) b) compute the actual volume of air in the cardboard box. (use v = lwh.)

Explanation:

Step1: Round the dimensions to nearest ten

67 rounds to 70, 51 rounds to 50, 66 rounds to 70.

Step2: Estimate the volume using rounded - values

$V = lwh$
$V_{estimated}=70\times50\times70$
$V_{estimated}=70\times3500$
$V_{estimated}=245000$ $cm^{3}$

Step3: Compute the actual volume

$l = 67$ cm, $w = 51$ cm, $h = 66$ cm
$V_{actual}=67\times51\times66$
$V_{actual}=67\times3366$
$V_{actual}=225522$ $cm^{3}$

Answer:

a) The estimated volume is 245000 $cm^{3}$.
b) The actual volume is 225522 $cm^{3}$.