Which polyhedron is represented by the net shown
2 answers:
Answer:
triangular pyramid
Step-by-step explanation:
Let's make the central triangle the "base", or the bottom face, of our polyhedron. Try to visualise what will happen if we fold up the three triangles so that their top vertices meet at the center top (see diagram).
If we can do that, we'll see that it's a pyramid with a triangular base, so it's a triangular pyramid.
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The surface area of the box is bigger than the <em>surface area</em> of the available wrapping paper. <em>Thus, you don't have enough wrapping paper to wrap the gift box.</em>
The given parameters;
- area of the wrapping paper available, A = 275 square inches
- volume of the gift box, V = 343 in²
First, determine the length of each side of the box;
The length of each side is represented with x;
x³ = 343
Second, find the surface area of the box;
surface area of the box, A = 6x²
A = 6(7)²
A = 294 in²
The surface area of the box is bigger than the <em>surface area</em> of the available wrapping paper. Thus, you don't have enough wrapping paper to wrap the gift box.
Learn more here: brainly.com/question/15908008
Just did a specific one of these; let's do the general case.
The point nearest the origin is (a,b).
The line from the origin through the point is
The line we seek is perpendicular to this one. We swap the coefficients on x and y, negating one, to get the perpendicular family of lines. We set the constant by plugging in the point (a,b):
That's standard form; let's plug in the numbers: