A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 8 inches, a width of 3 inches, and a height of 4 1 2 inches. What is the surface area?

147 in2

Step-by-step explanation:

(Assuming the height is 4 1/2 inches = 4.5 inches)

We need to calculate the area of all six faces of the prism

Two faces have the sides 8 and 3, which area is 8*3 = 24 in2

two other faces have the sides 8 and 4.5, which area is 8*4.5 = 36 in2

the two last faces have the sides 3 and 4.5, which area is 3*4.5 = 13.5 in2

So, summing up all the areas, we have:

24 + 24 + 36 + 36 + 13.5 + 13.5 = 147 in2

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step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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