Question

11) Find the surface area and volume of the figure below. Round your answers to the nearest tenth.

Answer 1

430

Explanation:

6 x6 is 36. 36 x 12 is 432. rounding is 430, since the 2 is not more than 5

Answer 2

• Surface area is 282 yd²;
• Volume is 216 yd³.

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Find the base area of the right triangle:

• B = 6^6/2 = 18 yd²

Find the missing base side c, using the property of a isosceles right triangle:

• c = a√2 ⇒ c = 6√2 ≈ 8.5 yd (rounded)

Find the total surface area:

• S = Ph + 2B
• S = (6 + 6 + 8.5)*12 + 2*18
• S = 282 yd²

Find the volume:

• V = Bh
• V = 18*12
• V = 216 yd³