Question
use the image described answer the following question
An illustration shows a 3D rectangular base prism with two opposite triangular faces. A point is shown on the top edge and one each on the lateral edge of the front triangular face. The three dots are joined to form a triangle.
What is the two-dimensional shape created by the sliced object?
An illustration shows a 3D rectangular base prism with two opposite triangular faces. A point is shown on the top edge and one each on the lateral edge of the front triangular face. The three dots are joined to form a triangle.
What is the two-dimensional shape created by the sliced object?
Answers
GPT 3.5
The two-dimensional shape created by slicing the object is a triangle.
joon
What is a two-dimensional representation of a three-dimensional figure?
a square
a cube
a net
a rectangle
a square
a cube
a net
a rectangle
GPT 3.5
a net
joon
What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm^2?
__ cm
__ cm
GPT 3.5
To find the missing length of the rectangular prism, we first need to calculate the surface area of the entire rectangular prism.
The formula for the surface area of a rectangular prism is given by:
Surface Area = 2lw + 2lh + 2wh
Given:
height = 9 cm
width = 9 cm
surface area = 432 cm^2
Substitute the values into the formula:
432 = 2(9)(9) + 2(9)(h) + 2(9)(h)
432 = 162 + 18h + 18h
432 = 162 + 36h
270 = 36h
h = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.
The formula for the surface area of a rectangular prism is given by:
Surface Area = 2lw + 2lh + 2wh
Given:
height = 9 cm
width = 9 cm
surface area = 432 cm^2
Substitute the values into the formula:
432 = 2(9)(9) + 2(9)(h) + 2(9)(h)
432 = 162 + 18h + 18h
432 = 162 + 36h
270 = 36h
h = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.
joon
fill in the blanks to complete the formula for the surface area of a triangular prism.
The surface area of a triangular prism is S.A.=__ (S1+S2+S3)__
The surface area of a triangular prism is S.A.=__ (S1+S2+S3)__
GPT 3.5
The surface area of a triangular prism is given by the formula:
S.A. = (S1 + S2 + S3) + (b * h)
Where:
S1, S2, S3 are the areas of the three triangular faces
b is the base of the prism
h is the height of the prism.
S.A. = (S1 + S2 + S3) + (b * h)
Where:
S1, S2, S3 are the areas of the three triangular faces
b is the base of the prism
h is the height of the prism.
joon
fill in all the blanks
GPT 3.5
The surface area of a triangular prism is S.A. = (S1 + S2 + S3) + (b * h)
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