you work in the engineering department of a toy company. recently, a large number of toys have been returned…

you work in the engineering department of a toy company. recently, a large number of toys have been returned because of a particular broken part. a member of your team has provided a concept sketch of a new part with the required dimensions. the toy part will be painted before assembly. your team needs to determine how much paint must be ordered. what is the surface area of the new toy part in square inches (in.²)? round your answer to the nearest tenth of an in.². enter the answer.

you work in the engineering department of a toy company. recently, a large number of toys have been returned because of a particular broken part. a member of your team has provided a concept sketch of a new part with the required dimensions. the toy part will be painted before assembly. your team needs to determine how much paint must be ordered. what is the surface area of the new toy part in square inches (in.²)? round your answer to the nearest tenth of an in.². enter the answer.

Answer

Answer:

$3.5$

Explanation:

Step1: Analyze front - back faces

The front - back face area is composed of two rectangles. One is $0.5\times(0.5 + 0.5)=0.5$ square inches and the other is $0.5\times0.5 = 0.25$ square inches. Total for front - back is $2\times(0.5+0.25)=1.5$ square inches.

Step2: Analyze top - bottom faces

The top - bottom face area: The top and bottom are the same. The area of each is $0.5\times(0.5 + 1.0+0.5)=1$ square inches. Total for top - bottom is $2\times1 = 2$ square inches.

Step3: Analyze side faces

The side - face area: There are two side faces with area $0.5\times0.5$ each, total side - face area is $2\times0.5\times0.5 = 0.5$ square inches.

Step4: Calculate total surface area

Add up all areas: $1.5+2 + 0.5=3.5$ square inches.