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 new toy part will need to be shipped after manufacturing is complete. to get an accurate estimate of how much shipping will cost, you need to determine the volume of the part. calculate the volume of the new toy part. round your answer to the nearest hundredth of a cubic inch (in.³). 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 new toy part will need to be shipped after manufacturing is complete. to get an accurate estimate of how much shipping will cost, you need to determine the volume of the part. calculate the volume of the new toy part. round your answer to the nearest hundredth of a cubic inch (in.³). enter the answer.

Answer

Answer:

0.62

Explanation:

Step1: Divide the shape into cubes

The shape can be divided into 5 cubes of side - length 0.5 inches.

Step2: Calculate the volume of one cube

The volume formula for a cube is $V = s^3$, where $s = 0.5$ inches. So $V_1=(0.5)^3=0.125$ in³.

Step3: Calculate the volume of the whole part

Since there are 5 such cubes, $V = 5\times V_1=5\times0.125 = 0.625$ in³.

Step4: Round the answer

Rounding 0.625 to the nearest hundredth gives 0.62 in³.