Answer: 4
Step-by-step explanation:
To solve this problem, you must follow the proccedure below:
1. T<span>he block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:
V1=s</span>³
<span>
s is the side of the cube (s=9)
2. Therefore, you have:
V1=s</span>³
V1=(9 inches)³
V1=729 inches³
<span>
3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:
V2=LxWxH
L is the length (L=3 inches).
W is the width (W=3 inches).
H is the heigth (H=9 inches).
4. Therefore, you have:
V2=(3 inches)(3 inches)(9 inches)
V2=81 inches
</span><span>
5. The amount of wood that was left after the hole was cut out, is:
</span>
Vt=V1-V2
Vt=648 inches³
If we divide 360 by the number of sides, 16, we will get the measure of one of the 16 central angles. 360/16 = 22.5. The vertex angle of one of the triangles that makes up this 16-gon is 22.5. That means that each of the base angles measure 78.75. If we put 2 of these triangles next to each other, 2 sides touching, the bases of both those triangles meet to form an interior angle. Two base angles of 78.75 together form the interior angle: 78.75+78.75 = 157.5. An interior angle measures 157.5. The exterior angle then has to measure 180-157.5 which is 22.5, same as the vertex angle of 1 of the triangles that make up this 16-gon.
Answer: 2 hours after 10:30 is 12:30?