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Volume and Surface Area! 30 POINTS

Volume and Surface Area! 30 POINTS-example-1

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Answer:

Volume: 5200 cubic centimeters

Surface area: 1520 square centimeters

Explanation:

Volume = [1/2 x 5 x side x apothem] x height

(The apothem is that little 8 cm mark, the height is 26, the side is 10.)

Plug those values in:

V = 1/2 * 5 * s * a * h

= 1/2 * 5 * 10 * 8 * 26 = 5200 cubic centimeters

Surface area = 2(base area) + 5(lateral area)

  • Perimeter of base = 10*5 = 50 cm
  • Base area = pa/2 = 50*8 / 2 = 200 square centimeters
  • Lateral area = lw = 26*10 = 260 square centimeters

SA = 2(200) + 5(260) = 1520 square centimeters

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