Question

the dimensions of a cuboid shape cupboard are 1.31 m wide by 0.9 m long by 1.70 m tall. what is the volume of the cupboard, taking significant figures into account?
___ m³

Explanation:

Step1: Recall volume formula

The volume $V$ of a cuboid is given by $V = l\times w\times h$, where $l$ is length, $w$ is width and $h$ is height.

Step2: Substitute values

Here, $l = 0.9$ m, $w = 1.31$ m, $h=1.70$ m. So $V=0.9\times1.31\times1.70$.

Step3: Calculate volume

$V = 0.9\times1.31\times1.70=0.9\times2.227 = 2.0043$ $m^{3}$.

Step4: Apply significant - figures rule

The number 0.9 has 1 significant figure. When multiplying, the result should be reported with the least number of significant figures among the values used in the calculation. So, rounding 2.0043 to 1 significant figure gives 2 $m^{3}$.

Answer:

2