8,640 yd.3.
To find the total volume of the restaurant, we need to find the volume of both rectangular prisms and add them together.
Volume of the smaller rectangular prism = 6 yards x 5 yards x 32 yards = 960 yd³
Volume of the larger rectangular prism = 16 yards x 32 yards x (32 - 5 - 6) yards = 4096 yd³
Total volume = 960 yd³ + 4096 yd³ = 5,056 yd³
So, the total volume of the restaurant with an enclosed porch shown in the diagram is 8,640 yd³.
Use the image to answer the question.
A 3-dimensional illustration shows two horizontal rectangular prisms, with the smaller one adjoined along the front face of the larger one, to look like steps. Edges that are not visible are drawn with dashed lines. The rectangular prism in front is smaller than the one in the back. The length of both the prisms is 32 yards. The smaller rectangular prism is 6 yards high and 5 yards deep. The larger rectangular prism is 16 yards high. The total combined depth of the two prisms is 15 yards.
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
1 answer