The lateral surface area of the rectangular prism represented by the given net is:
2(3 cm * 12 cm) + 2(3 cm * 7 cm) = 72 cm2 + 42 cm2 = 114 cm2
So, the lateral surface area of the rectangular prism is 114 cm2.
Use the image to answer the question.
An illustration shows an unfolded version of a rectangular prism.
A large vertical rectangle is divided into four stacked horizontal rectangles labeled as side, bottom, side, and top, all with common dashed lines in between them. The second rectangle, labeled as bottom, shows a length of 12 centimeters and a width of 7 centimeters. There are two additional rectangles adjoined to both sides of the second rectangle, with common dashed lines in between them. These two adjoined rectangles are labeled as side, each with a width of 3 centimeters.
Find the lateral surface area of the rectangular prism represented by the given net.
(1 point)
cm2
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3 answers
same for thisUse the image to answer the question.
An illustration shows an unfolded version of a pentagonal prism.
A horizontal rectangle is divided into five segments of vertical length 6 feet. The segments are divided with dashed lines. Two pentagons adjoin the top and bottom sides of the second rectangle, also with common dashed lines. Each side of the pentagon is 4 feet. The perpendicular height of the pentagon is drawn with a dotted line extending from the from the center of a side to the center of the pentagon, and is labeled as 5 feet. A right angle symbol is shown where the perpendicular height meets the side.
Find the lateral surface area for the regular pentagonal prism represented by the given net.
(1 point)
ft.2
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An illustration shows an unfolded version of a pentagonal prism.
A horizontal rectangle is divided into five segments of vertical length 6 feet. The segments are divided with dashed lines. Two pentagons adjoin the top and bottom sides of the second rectangle, also with common dashed lines. Each side of the pentagon is 4 feet. The perpendicular height of the pentagon is drawn with a dotted line extending from the from the center of a side to the center of the pentagon, and is labeled as 5 feet. A right angle symbol is shown where the perpendicular height meets the side.
Find the lateral surface area for the regular pentagonal prism represented by the given net.
(1 point)
ft.2
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The lateral surface area of the regular pentagonal prism represented by the given net can be calculated using the formula for the lateral surface area of a prism: (perimeter of the base) * height.
First, we need to find the perimeter of the pentagon. Since a regular pentagon has all equal sides and angles, we can use the formula for the perimeter of a regular pentagon: P = 5 * side length.
Given that the side length of the pentagon is 4 feet, the perimeter would be: P = 5 * 4 = 20 feet.
Next, we need to find the lateral surface area by multiplying the perimeter of the base by the height of the prism. The height of the prism is given as 6 feet.
Lateral surface area = Perimeter of pentagon * Height of prism
Lateral surface area = 20 feet * 6 feet
Lateral surface area = 120 square feet
Therefore, the lateral surface area of the regular pentagonal prism represented by the given net is 120 ft^2.
First, we need to find the perimeter of the pentagon. Since a regular pentagon has all equal sides and angles, we can use the formula for the perimeter of a regular pentagon: P = 5 * side length.
Given that the side length of the pentagon is 4 feet, the perimeter would be: P = 5 * 4 = 20 feet.
Next, we need to find the lateral surface area by multiplying the perimeter of the base by the height of the prism. The height of the prism is given as 6 feet.
Lateral surface area = Perimeter of pentagon * Height of prism
Lateral surface area = 20 feet * 6 feet
Lateral surface area = 120 square feet
Therefore, the lateral surface area of the regular pentagonal prism represented by the given net is 120 ft^2.