15yd 6yd 5yd 16yd 32yd

What is the total volume of the restaurant with an enclosed porch shown in the diagram? (1 point) Responses 6,080 yd.3 6,080 yd. cubed 4,160 yd.3 4,160 yd. cubed 8,640 yd.3 8,640 yd. cubed 5,070 yd.3

To calculate the total volume of the restaurant with an enclosed porch, we need to add up the volumes of each individual section.

Volume of the main restaurant:
15yd x 6yd x 16yd = 1,440 yd³

Volume of the enclosed porch:
5yd x 6yd x 32yd = 960 yd³

Total volume:
1,440 yd³ + 960 yd³ = 2,400 yd³

Therefore, the correct answer is 2,400 yd³. None of the given options match this exact total, so the closest option would be 2,720 yd³.

a. 6,080 yd.3

b. 4,160 yd.3
c. 8,640 yd.3
d. 5,070 yd.3

The correct answer based on the calculations provided is not among the options. The nearest option to the calculated total volume of 2400 yd³ is 2,720 yd³, which is not listed. Therefore, based on the options provided, the closest one would be:

b. 4,160 yd.3