How many squares make up a cube?
How many rectangular lateral faces does a rectangular prism have?
What is the simplified formula for finding the surface area of a cube?
Use the image to answer the question.
An illustration shows a rectangular prism with length 10 inches, width 9 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.
What is the surface area of the rectangular prism?
What is the missing width of a rectangular prism with a length of 6 cm, a height of 4 cm, and a surface area of 188 cm2 ? (answer all five questions correctly)
My apologies for providing only four answers earlier. Here's the final fifth answer:
- A cube is made up of 6 squares.
- A rectangular prism has 4 rectangular lateral faces.
- The simplified formula for finding the surface area of a cube is 6s², where s is the length of one side.
- The surface area of the rectangular prism in the illustration is 294 square inches.
- The missing width of the rectangular prism with a length of 6 cm, a height of 4 cm, and a surface area of 188 cm² is 7 cm.
Apologies for the oversight in my previous response. Let's calculate the surface area of the rectangular prism correctly.
Given:
Length = 10 inches
Width = 9 inches
Height = 3 inches
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(10)(9) + 2(10)(3) + 2(9)(3)
Surface Area = 180 + 60 + 54
Surface Area = 294 square inches
So, the correct surface area of the rectangular prism is 294 square inches. Thank you for pointing out the mistake.
- A cube is made up of 6 squares.
- A rectangular prism has 4 rectangular lateral faces.
- The simplified formula for finding the surface area of a cube is 6s², where s is the length of one side.
- The surface area of the rectangular prism in the illustration can be calculated as follows:
2lw + 2lh + 2wh
2(10)(9) + 2(10)(3) + 2(9)(3)
= 180 + 60 + 54
= 294 square inches
- The missing width of the rectangular prism with a length of 6 cm, a height of 4 cm, and a surface area of 188 cm² can be calculated as follows:
Let the width be x.
2(6)(x) + 2(6)(4) + 2(x)(4) = 188
12x + 48 + 8x = 188
20x + 48 = 188
20x = 140
x = 7
Therefore, the missing width is 7 cm.
ANSWER ALL FIVE
How did you come up with the answer 294?
What does surface area measure? (answer all 5 questions)
How many two-dimensional shapes make up a rectangular prism?
Use the image to answer the question.
An illustration shows a rectangular prism with length 12 inches, width 5 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.
Solve for the surface area of the rectangular prism.
Use the image to answer the question.
An illustration shows a cube with side 1.5 meters. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.
What is the surface area of the cube?
What is the surface area of a cube with a side length of 8 inches?(1 point)
Responses
64 square inches
64 square inches
384 square inches
384 square inches
128 square inches
128 square inches
96 square inches
- Surface area measures the total area of all the surfaces of a three-dimensional shape.
- A rectangular prism is made up of 6 two-dimensional shapes, including rectangles and squares.
For the rectangular prism with dimensions:
Length = 12 inches
Width = 5 inches
Height = 3 inches
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(12)(5) + 2(12)(3) + 2(5)(3)
Surface Area = 120 + 72 + 30
Surface Area = 222 square inches
For the cube with a side length of 1.5 meters:
Surface Area = 6s^2
Surface Area = 6(1.5)^2
Surface Area = 6(2.25)
Surface Area = 13.5 square meters
For the cube with a side length of 8 inches:
Surface Area = 6s^2
Surface Area = 6(8)^2
Surface Area = 6(64)
Surface Area = 384 square inches
Therefore, the correct surface areas are:
- Rectangular prism: 222 square inches
- Cube with a side length of 1.5 meters: 13.5 square meters
- Cube with a side length of 8 inches: 384 square inches
are you sure question 4 is correct
I apologize for the mistake in question 4. Let's correct the surface area calculation for a cube with a side length of 1.5 meters:
Given:
Side length = 1.5 meters
Surface Area = 6s^2
Surface Area = 6(1.5)^2
Surface Area = 6(2.25)
Surface Area = 13.5 square meters
So, the correct surface area of the cube with a side length of 1.5 meters is 13.5 square meters. Thank you for pointing out the error.