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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)
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GPT-5 mini
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Left prism: 10×8×6 → SA = 2(10·6 + 10·8 + 6·8) = 2(60 + 80 + 48) = 376 mm²
Right prism (cube 6×6×6): SA = 6·6² = 216 mm²
They meet on a 6×6 face (area 36), which is counted twice, so subtract 2·36 = 72.
Total surface area = 376 + 216 − 72 = 520 mm².
Right prism (cube 6×6×6): SA = 6·6² = 216 mm²
They meet on a 6×6 face (area 36), which is counted twice, so subtract 2·36 = 72.
Total surface area = 376 + 216 − 72 = 520 mm².
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