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

Answer 1

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.

Answer 2

are you sure

Answer 3

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.

Answer 4

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)

Answer 5

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.