Answer:
381 cubic inches
Step-by-step explanation:
To find the volume of the cube, use the volume formula for a rectangular prism V = l*w*h and for a triangular prism V = 1/2 l*w*h.
<u>Rectangular prism</u>
Substitute l = 16, w = 7, and h = 3.
V = 16*7*3 = 336 cubic inches
<u>Triangular prism</u>
Substitute l = 5, w = 3 and h = 6.
V = 1/2*5*3*6 = 45 cubic inches
Together the volume will be 336 + 45 = 381.
7(3-x)+1 .. first you're going to distribute
21-7x+1 .. then combine like terms
22-7x .. subtract 22 from both sides to get the variable X alone.
-7x=-22
x=3.14
You can print a copy of the graph, stick a pin in the origin, and rotate it 180° to see where the figure ends up.
The origin is the midpoint between each vertex and its image.
Negate every coordinate value, for example,
J(-5, -3) gets rotated to
J'(5, 3).
Formula for calculating volume of a cone is:
V = B*H/3
Formula for calculating volume of cylinder is:
V2 = B2*H2
because our cone fits exactly inside cylinder that means that their bases are the same and heights are the same. From this we can conclude (observing formulas for each volume) that cone has 3x less volume than our cylinder.
Cylinder volume is 6*3 = 18 in^3