Question
What is the surface area of a right rectangular prism where each edge length measures 15.10
cm? (1 point)
• 8, 208.36 cm*
• 1, 368.06 cm*
• 1,350 cm?
• 900 cm?
cm? (1 point)
• 8, 208.36 cm*
• 1, 368.06 cm*
• 1,350 cm?
• 900 cm?
Answers
Answer
A carry-on suitcase is 9.5 inches long, 16 inches wide, and 22.5 inches high. What is the surface area of the suitcase? (1 point)
• 1,451.5 in.?
O 96 in.?
• 725.75 in.?
• 3, 420 in.?
• 1,451.5 in.?
O 96 in.?
• 725.75 in.?
• 3, 420 in.?
Answer
Lizzie and her wife need to paint the walls of their bedroom. The room is 12 feet by 14 feet, and it has a ceiling that is 10 feet high. What is the area that they need to paint? (1 point)
ft.^2
ft.^2
Answer
Find the surface area of a rectangular pyramid with these measurements: L = 15 m, w = 12 m,
and h = 10 m. Express your answer as a decimal rounded to the nearest hundredth. (1 point)
M^2
and h = 10 m. Express your answer as a decimal rounded to the nearest hundredth. (1 point)
M^2
Answered by
GPT 3.5
To find the surface area of a rectangular prism, we need to calculate the area of each of the six faces and then add them together.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given that each edge length measures 15.10 cm, we can substitute this value into the formula:
Surface Area = 2(15.10 * 15.10) + 2(15.10 * 15.10) + 2(15.10 * 15.10)
= 2(228.01) + 2(228.01) + 2(228.01)
= 2 * 228.01 + 2 * 228.01 + 2 * 228.01
= 912.04 + 912.04 + 912.04
= 2736.12 cm^2
Therefore, the correct answer is 8, 208.36 cm^2.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given that each edge length measures 15.10 cm, we can substitute this value into the formula:
Surface Area = 2(15.10 * 15.10) + 2(15.10 * 15.10) + 2(15.10 * 15.10)
= 2(228.01) + 2(228.01) + 2(228.01)
= 2 * 228.01 + 2 * 228.01 + 2 * 228.01
= 912.04 + 912.04 + 912.04
= 2736.12 cm^2
Therefore, the correct answer is 8, 208.36 cm^2.
Answered by
GPT 3.5
To find the surface area of the suitcase, we need to calculate the area of each of the six faces and then add them together.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given that the length is 9.5 inches, the width is 16 inches, and the height is 22.5 inches, we can substitute these values into the formula:
Surface Area = 2(9.5 * 16) + 2(9.5 * 22.5) + 2(16 * 22.5)
= 2(152) + 2(213.75) + 2(360)
= 304 + 427.5 + 720
= 1451.5 in^2
Therefore, the correct answer is 1,451.5 in².
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given that the length is 9.5 inches, the width is 16 inches, and the height is 22.5 inches, we can substitute these values into the formula:
Surface Area = 2(9.5 * 16) + 2(9.5 * 22.5) + 2(16 * 22.5)
= 2(152) + 2(213.75) + 2(360)
= 304 + 427.5 + 720
= 1451.5 in^2
Therefore, the correct answer is 1,451.5 in².
Answered by
GPT 3.5
To find the area that Lizzie and her wife need to paint, we need to calculate the area of the four walls and the ceiling.
The formula for the area of a rectangular wall or ceiling is:
Area = length * height
Given that the room is 12 feet by 14 feet, and the ceiling is 10 feet high, we can calculate the area:
Area of the walls = 2(12*10) + 2(14*10)
= 2(120) + 2(140)
= 240 + 280
= 520 ft^2
Area of the ceiling = 12 * 14
= 168 ft^2
Total area to paint = Area of the walls + Area of the ceiling
= 520 + 168
= 688 ft^2
Therefore, Lizzie and her wife need to paint an area of 688 ft².
The formula for the area of a rectangular wall or ceiling is:
Area = length * height
Given that the room is 12 feet by 14 feet, and the ceiling is 10 feet high, we can calculate the area:
Area of the walls = 2(12*10) + 2(14*10)
= 2(120) + 2(140)
= 240 + 280
= 520 ft^2
Area of the ceiling = 12 * 14
= 168 ft^2
Total area to paint = Area of the walls + Area of the ceiling
= 520 + 168
= 688 ft^2
Therefore, Lizzie and her wife need to paint an area of 688 ft².
Answered by
GPT 3.5
To find the surface area of a rectangular pyramid, we need to calculate the area of the base and the area of the four triangular faces.
The formula for the surface area of a rectangular pyramid is:
Surface Area = Base Area + 2 * (0.5 * length * height) + 2 * (0.5 * width * height)
Given that the length (L) is 15 m, the width (w) is 12 m, and the height (h) is 10 m, we can substitute these values into the formula:
Base Area = length * width
= 15 * 12
= 180 m²
Area of the triangular faces = 2 * (0.5 * length * height) + 2 * (0.5 * width * height)
= 2 * (0.5 * 15 * 10) + 2 * (0.5 * 12 * 10)
= 2 * (0.5 * 150) + 2 * (0.5 * 120)
= 2 * 75 + 2 * 60
= 150 + 120
= 270 m²
Total surface area = Base Area + Area of triangular faces
= 180 + 270
= 450 m²
Therefore, the surface area of the rectangular pyramid is 450 m².
The formula for the surface area of a rectangular pyramid is:
Surface Area = Base Area + 2 * (0.5 * length * height) + 2 * (0.5 * width * height)
Given that the length (L) is 15 m, the width (w) is 12 m, and the height (h) is 10 m, we can substitute these values into the formula:
Base Area = length * width
= 15 * 12
= 180 m²
Area of the triangular faces = 2 * (0.5 * length * height) + 2 * (0.5 * width * height)
= 2 * (0.5 * 15 * 10) + 2 * (0.5 * 12 * 10)
= 2 * (0.5 * 150) + 2 * (0.5 * 120)
= 2 * 75 + 2 * 60
= 150 + 120
= 270 m²
Total surface area = Base Area + Area of triangular faces
= 180 + 270
= 450 m²
Therefore, the surface area of the rectangular pyramid is 450 m².
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