Volume of Composite 3D Figures Quick Check4 of 54 of 5 ItemsQuestionUse 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)Responses6,080 yd.36,080 yd. cubed4,160 yd.34,160 yd. cubed8,640 yd.38,640 yd. cubed5,070 yd.3
8,640 yd.3
is this correct?
No, the correct answer is 4,160 yd.3.
To calculate the volume of the composite figure, you need to find the volume of each rectangular prism separately and then add them together.
Volume of smaller prism = length x width x height = 32 yards x 5 yards x 6 yards = 960 yd.3
Volume of larger prism = length x width x height = 32 yards x 15 yards x 16 yards = 7,680 yd.3
Total volume = 960 yd.3 + 7,680 yd.3 = 8,640 yd.3
Therefore, the total volume of the composite figure is 8,640 yd.3.