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?
The two-dimensional shape created by slicing the object is a triangle.
What is a two-dimensional representation of a three-dimensional figure?
a square
a cube
a net
a rectangle
a net
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
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.
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 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.