Question

This net represents a rectangular prism with a surface area of 228 square inches. The two-dimensional net of a rectangular prism has 6 rectangles. A rectangle is 6 inches long and 4 inches wide. The width of another rectangle is labeled h. What is the height of the prism?

Answer 1

To find the height of the rectangular prism, we can use the surface area formula and substitute the given values. By solving the equation, we find that the height is 9 inches.

Step-by-step explanation:

To find the height of the prism, we need to use the surface area formula for a rectangular prism. The formula is:

Surface Area = 2lw + 2lh + 2wh

Given that the surface area is 228 square inches, the length is 6 inches, the width is 4 inches, and the width of the other rectangle is h, we can substitute these values into the formula and solve for h:

228 = 2(6)(4) + 2(6)h + 2(4)h

Using algebraic simplification, we can solve for h:

228 = 48 + 12h + 8h

Combining like terms, we get:

228 = 48 + 20h

Subtracting 48 from both sides, we get:

180 = 20h

Dividing both sides by 20, we get:

h = 9 inches