To find the total surface area of the figure, we need to calculate the surface area of each rectangular prism separately and then add them together.
For the smaller rectangular prism on the left:
Surface area = 2lw + 2lh + 2wh
Surface area = 2(10)(8) + 2(10)(h) + 2(8)(h)
Surface area = 160 + 20h + 16h
Surface area = 160 + 36h
For the larger rectangular prism on the right:
Surface area = 2lw + 2lh + 2wh
Surface area = 2(6)(6) + 2(6)(6) + 2(6)(6)
Surface area = 72
Total surface area = 160 + 36h + 72
Total surface area = 232 + 36h
Since we are not given the value of the width of the smaller rectangular prism, we cannot calculate the exact total surface area. The total surface area will be 232 + 36 times the width of the smaller rectangular prism.
Use the image to answer the question.
An illustration shows a three dimensional composite figure formed by a smaller rectangular prism connected to a larger rectangular prism. The top, right, and front faces are visible. The faces and edges that are not visible are indicated by dashed lines. The rectangular prism on the left has a length of 10 millimeters a height of 8 millimeters. The width of the rectangular prism is not shown, but it aligns perfectly with the width of the rectangular prism on the right. The rectangular prism on the right has a length of 6 millimeters, a width of 6 millimeters, and a height 6 of millimeters. The combined length of the two rectangular prisms measures 16 millimeters.
What is the total surface area of the figure?
(1 point)
mm2
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