Question

indigo built a toy box in the shape of a rectangular prism with an open top. the diagram below shows the toy box and a net of the toy box. toy box net of toy box 9 cm 5 cm 10 cm what is the surface area, in square centimeters, of the toy box?

Explanation:

Step1: Identify the dimensions

Length $l = 10$ cm, width $w=9$ cm, height $h = 5$ cm.

Step2: Recall surface - area formula for open - top box

The surface area $S$ of an open - top rectangular prism is $S=lw + 2lh+2wh$.

Step3: Substitute the values

$S=(10\times9)+2\times(10\times5)+2\times(9\times5)$.

Step4: Calculate each term

$10\times9 = 90$, $2\times(10\times5)=100$, $2\times(9\times5)=90$.

Step5: Sum up the terms

$S=90 + 100+90=290$ $cm^{2}$.

Answer:

$290$