What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm2 ?(1 poi
The formula for the surface area of a rectangular prism is:
Surface area = 2lw + 2lh + 2wh
Given that the height and width are both 9 cm, we can use the formula to calculate the missing length:
432 = 2(9)(l) + 2(9)(9) + 2(l)(9)
432 = 18l + 162 + 18l
432 = 36l + 162
270 = 36l
l = 7.5
Therefore, the missing length of the rectangular prism is 7.5 cm.
are you sure
Let's try solving it again:
Given:
Width = 9 cm
Height = 9 cm
Surface Area = 432 cm²
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given values:
432 = 2(9)(l) + 2(9)(9) + 2(l)(9)
432 = 18l + 162 + 18l
432 = 36l + 162
270 = 36l
l = 270 / 36
l = 7.5
Therefore, the missing length of the rectangular prism is indeed 7.5 cm.
Fill in the blanks to complete the formula for the surface area of a triangular prism. (1 point)
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) + (b × h)
Where:
S₁, S₂, S₃ are the areas of the three faces of the triangular prism.
b is the base length of the triangle.
h is the height of the triangular prism.