Question

college prep you measure the dimensions of a gift box as 8.75 inches, 4.75 inches, and 2.5 inches. which of the following is not an appropriate approximation of the volume of the gift box? 103 in.³ 100 in.³ 103.9 in.³ 103.906 in.³

Explanation:

Step1: Recall volume formula for rectangular - box

The volume $V$ of a rectangular - box with length $l$, width $w$, and height $h$ is given by $V=l\times w\times h$.

Step2: Substitute the given values

Here, $l = 8.75$ inches, $w = 4.75$ inches, and $h = 2.5$ inches. So $V=8.75\times4.75\times2.5$.

Step3: Calculate the product

$8.75\times4.75 = 8.75\times(4 + 0.75)=8.75\times4+8.75\times0.75=35+6.5625 = 41.5625$. Then $41.5625\times2.5=41.5625\times(2 + 0.5)=41.5625\times2+41.5625\times0.5=83.125 + 20.78125=103.90625\approx103.906$ in³.

Answer:

100 in³ is not an appropriate approximation of the volume of the gift - box.