Use the image to answer the question.
An illustration shows a 3 D 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? (1 point) Responses
A: hexagon
B: parallelogram
C: triangle
D: rectangle
C: triangle
What is a two-dimensional representation of a three-dimensional figure?(1 point)
A two-dimensional representation of a three-dimensional figure is called 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 cm2 ?(1 point
To find the missing length of the rectangular prism, first calculate the surface area of the prism.
The surface area of a rectangular prism can be calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Given that the length (l) is the missing length, the width (w) and height (h) are both 9 cm, and the surface area is 432 cm^2, we can substitute the values into the formula:
432 = 2(l * 9) + 2(9 * 9) + 2(l * 9)
432 = 18l + 162 + 18l
432 = 36l + 162
432 - 162 = 36l
270 = 36l
l = 270 / 36
l = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.