6,080 yd.3
To find the total volume of the combined rectangular prisms, you can find the volume of each prism separately and add them together.
Volume of the smaller rectangular prism:
Length x Width x Height = 32 yd x 5 yd x 6 yd = 960 yd. cubed
Volume of the larger rectangular prism:
Length x Width x Height = 32 yd x (15 - 6) yd x 16 yd = 32 yd x 9 yd x 16 yd = 4,608 yd. cubed
Total volume:
960 yd. cubed + 4,608 yd. cubed = 5,568 yd. cubed
Therefore, the total volume of the restaurant with an enclosed porch shown in the diagram is 6,080 yd.3.
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
5,070 yd.3
5,070 yd. cubed
6,080 yd.3
6,080 yd. cubed
4,160 yd.3
8,650 yd.3
1 answer