Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is
![{l}^{2}](https://tex.z-dn.net/?f=%20%7Bl%7D%5E%7B2%7D%20)
It was given that, the area of this base is 81 in²
![{l}^{2} = 81](https://tex.z-dn.net/?f=%20%7Bl%7D%5E%7B2%7D%20%20%3D%2081)
Take positive square root:
![l = \sqrt{81} = 9in](https://tex.z-dn.net/?f=l%20%3D%20%20%5Csqrt%7B81%7D%20%20%3D%209in)
Answer:
<em>A = 70</em>
Step-by-step explanation:
<em>CB </em>is equal to <em>EZ </em>and <em>E </em>equals 35, and <em>E </em>and <em>C </em>are the same, therefore, both <em>E </em>equals 35. Since there's 180 degrees in a triangle, and <em>ABY </em>equals 105, you have to subtract 180 - 105 to get the other angle. When you do that, you get that <em>B </em>equals 75. You have to add <em>E </em>and <em>B</em> (35 + 75), since that's in the same triangle as <em>A. </em>When you do that, you get 110. Subtract 180 - 110 to get <em>A, </em>which is 70.
Answer:
In Mathematics Geometry,<em> lateral face</em> is said be the side of a 3D-figure in that is not a base.
Please check the attached figure to visual the concept.
Step-by-step explanation:
In Mathematics Geometry,<em> lateral face</em> is said be the side of a 3D-figure in that is not a base.
The faces in in a prism or pyramid which are not bases are basically the lateral faces.
For example, the lateral faces are basically parallelograms in Triangular prism which are not the bases.
Please check the attached figure to visual the concept.
Answer:
744 cubic inches
Step-by-step explanation:
Volume of Styrofoam= volume of big box -volume of glass box
=(10*10*15)-(9*7*12)
=1500-756
=744 cubic inches