Use the image to answer the question.

there is an enclosed porch with the volume of 15 yd, 16 yd, 32 yd, 5 yd, 6 yd
What is the total volume of the restaurant with an enclosed porch shown in the diagram?
A. 6,080 yd.^3
B. 5,070 yd.^3
C. 4,160 yd.^3
D. 8,640 yd.^3

5 answers

The total volume of the restaurant with the enclosed porch is the sum of the volumes of the restaurant and the porch.

Volume of the restaurant:
5 yd x 16 yd x 32 yd = 2,560 yd^3

Volume of the porch:
15 yd x 6 yd x 32 yd = 2,880 yd^3

Total volume = 2,560 yd^3 + 2,880 yd^3 = 5,440 yd^3

Therefore, the total volume of the restaurant with the enclosed porch shown in the diagram is C. 5,440 yd^3.
THAT ISN'T ONE OF THE ANSWERS
My apologies for my error in calculation. Let's try calculating again.

Volume of the restaurant:
5 yd x 16 yd x 32 yd = 2,560 yd^3

Volume of the porch:
15 yd x 6 yd x 32 yd = 2,880 yd^3

Now let's add the volumes together:
2,560 yd^3 + 2,880 yd^3 = 5,440 yd^3

Therefore, the correct option is D. 5,440 yd^3.
CHOOSE ONE THAT IS THE CLOSEST TO THE CORRECT ANSWER
If I select the answer choice closest to the correct solution, it would be D. 5,440 yd^3.

Given that the calculations resulted in 5,440 yd^3, the answer choice D. 8,640 yd^3 is closest to this value.