Slide 1

Surface Area

From the two segments you just watched, would you assume Ms. Mears most often needs to consider the surface area or the volume when building her full-sized sculptures?

A) surface area

B) volume

The answer is surface area. It can be assumed from the video segments that many of her sculptures are hollow.

Image description: Mary Ann Mears moving a large metal piece of her sculpture.

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Slide 2

Surface area is just that—the area of the surface of the figure.

A standard tablet cover, like the one shown above, measures 9.7 inches by 7.5 inches by 0.6 inches. The cover has six faces that are all rectangles. If the cover is unfolded flat, it would look like this (with overlapping removed because that wouldn’t be part of the surface):

Top right Image description: Tablet cover
Image Caption: Standard cover for a tablet.

Bottom Left image description: Tablet cover net illustration with sides labeled A, B, C, D, E and F. The height of side E measures 0.6 inches. The height of side C measures 9.7 inches and the width of side A measures 7.5 inches. Side A is congruent to the width of sides B, E and F. The height of side C is congruent to the height of side D.

This net displays the surface area of the cover. (It is all the area you can touch when it is folded around the tablet.) To find the surface area, simply find the area of each face, and add them together.

Bottom right image description: Table showing the area of each face of the tablet cover net:

Top of cover (A), 9.7 times 7.5 equals 72.75 square inches; Bottom of cover (B), 9.7 times 7.5 equals 72.75 square inches; Left side of cover (C), 9.7 times 0.6 equals 5.83 square inches; Right side of cover (D),  9.7 times 0.6 equals 5.83 square inches; Upper side of cover (E) 7.5 times 0.6 equals 4.5 square inches; Lower side of cover (F), 7.5 times 0.6 equals 4.5 square inches; Total surface of cover: 166.14 square inches.

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Slide 3

Find the surface area of the three-dimensional models based on the dimensions of the net. Enter your answer in the blank provided, rounding your answer to the nearest hundredth.

Image description: Square prism net with all edges labeled 3 inches

The answer is 54 in2.

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Slide 4

Find the surface area of the three-dimensional models based on the dimensions of the net. Enter your answer in the blank provided, rounding your answer to the nearest hundredth.

Image description: Square pyramid net with square edge labeled 3 inches and triangle height labeled 2.6 inches

The answer is 24.6 in2.

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Slide 5

Find the surface area of the three-dimensional models based on the dimensions of the net. Enter your answer in the blank provided, rounding your answer to the nearest hundredth.

Image description: Triangular pyramid net with triangle edge labeled 3 inches and triangle height labeled 2.6 inches

The answer is 15.6 in2.

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Slide 6

Find the surface area of the three-dimensional models based on the dimensions of the net. Enter your answer in the blank provided, rounding your answer to the nearest hundredth.

Image description: Cylinder net with diameter labeled 3 inches, width labeled 9.42 inches and height labeled 3 inches

The correct answer is 42.20 in2.

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Slide 7

For the sphere, instead of using the net to determine the surface area, use the formula                  .       

Image description: Circle net with diameter labeled 3 inches

The answer is 28.27 in2

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Slide 8

You have reached the end of this interactive. Please continue with the lesson.

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