How to find the of each figure #5,6,7,8

5. The base area = (1/2)(6.1 m apothem)(6*7 m perimeter) = 128.1 m^2. The height = 8 m, so the volume of a pyramid = (1/3)bh = 341.6 m^3.
6. The base area = (8 yd)(10 yd) = 80 yd^2. The height = 11 yd, so the volume = (1/3)bh = 293.3 yd^3.
7. The lateral area is (11)(10) for the slanted surface, (11)(6) for the vertical rectangular surface, and (1/2)(8)(6) for each of the triangular surfaces. This is a lateral area of 110 + 66 + 2(24) = 224 in^2.The bottom surface is (11)(8) = 88, so the total surface area is 312 in^2.
8. The lateral area is (5 triangles)(1/2)(7.3 yd height)(6 yd base) = 109.5 sq. yd.The base is (1/2)(4.1 yd apothem)(5*6 yd perimeter) = 61.5 sq. yd. This is a total surface area of 109.5+61.5 = 171 sq yd.

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