Answer:
Because you are looking for square inches of wrapping paper, you are looking for the surface area of the box. A three-dimensional box has a top and bottom that are the same size, a front and back that are the same size, and 2 sides that are the same size...or SA = 2(top/bottom area) + 2(front/back area) + 2(side/side area). Our equation fills in nicely like this:
SA = 2(6 * 14) + 2(6 * 8) + 2(14 * 8)
SA = 2(84) + 2(48) + 2(112)
SA = 168 + 96 + 224
SA = 488 square inches of paper to wrap the box.
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
Given
The length of a side is
The height of a triangle is
Area of triangle is
Area of triangle is given by
Neglecting negative value
Therefore, the value of x is 5.
Answer:
Quadrants
Step-by-step explanation:
When two lines intersect such that they are perpendicular to each other, then quadrants are said to be formed. So that a given space would be divided into four quadrants when two perpendicular lines are drawn on it.
Each section which is called quadrant is at right angle to one another. So that the addition of their angles at the meeting point is the sum of four right angles i.e . Thus each of the four sections created by the intersecting lines is called a quadrant.
<u>Given</u>:
The radius of the figure is 5 mm
The height of the cylinder is 9 mm.
Volume of the composite figure is made of two half spheres and a cylinder.
We need to determine the volume of the composite figure.
<u>Volume of a cylinder:</u>
Volume of a cylinder is given by
Substituting r= 5, h = 9, we get;
Thus, the volume of the cylinder is 706.5 mm³
<u>Volume of the hemisphere:</u>
Volume of the hemisphere is given by
Substituting r = 5, we get;
Thus, the volume of the hemisphere is 261.67 mm³
<u>Volume of the composite figure:</u>
The volume of the composite figure can be determined by adding the volume of the cylinder and 2 hemispheres.
Thus, we have;
Thus, the volume of the composite figure is 1229.84 mm³