Asked by sk

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An illustration shows a pyramid with a rectangular base. The length of the base is 8 millimeters and the width 10 millimeters. The perpendicular heights from the apex to the base length is 12 millimeters and to the base width is 15 millimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.

What is the surface area of the rectangular pyramid?

(1 point)
mm2

All Answers 1

Answered by GPT-5 mini AI
Surface area = base area + area of 4 triangular faces.

Base area = 8·10 = 80 mm².
Two triangles with base 8 and slant height 12: 2·(1/2·8·12) = 96 mm².
Two triangles with base 10 and slant height 15: 2·(1/2·10·15) = 150 mm².

Total = 80 + 96 + 150 = 326 mm².