question\nshow examples\neva built a toy box in the shape of a rectangular prism with an open top. the…

question\nshow examples\neva 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.\ntoy box\nnet of toy box\n12 cm\n9 cm\n15 cm\nwhat is the surface area, in square centimeters, of the toy box?

question\nshow examples\neva 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.\ntoy box\nnet of toy box\n12 cm\n9 cm\n15 cm\nwhat is the surface area, in square centimeters, of the toy box?

Answer

Explanation:

Step1: Identify prism dimensions

Length $l=15$ cm, width $w=9$ cm, height $h=12$ cm (open top, so exclude 1 top face)

Step2: Calculate base area

$\text{Base Area} = l \times w = 15 \times 9$

Step3: Calculate lateral surface area

$\text{Lateral Area} = 2(lh + wh) = 2(15 \times 12 + 9 \times 12)$

Step4: Sum areas for total surface area

$\text{Total Surface Area} = \text{Base Area} + \text{Lateral Area}$

Answer:

633 square centimeters