| How do you find the volume of a composite solid | To find the volume of a composite solid of a triangular prism on a cuboid first work out the area of the cross-section/ front face. The area of the square is the base of 10cm x the height of 12cm = 120, and because the triangle only has a 40-degree angle, cut it down the middle to give a 90-degree angle, and half the base is 10/2 = 5cm so because 40 is the opposite and 5 is the adjacent use Tan(o/a), then multiply by ½ x 10 x ½ area of the triangle to get the total area, and add this to the square.
Now work out the volume = area of cross-section x depth(length) in cm^3 |
| What is the equation for pressure? | Pressure = force/area |
| What do you do to get the area back into the measurements? | To get the area back into its measurements square root it. |
| How do you work out the equation of a parallel line? | To work out the equation of a 2x – 4y = 8 through the point (3,0) take the straight-line equation and simplify to find the value of the gradient(m). 2x – 4y = 8 minus 2x is 4y = -2 + 8, then divide the equation by 4 = y = ½ x – 2.
Now subsitie x in the equation for 3 = 0 = ½ x 3 + b which is 0 = 3/2 + b then minus 3/2 to isolate b to get -3/2 = b
Put this back into the equation y = ½ x + b which is y = ½ x + 3/2 and the straight line equation though the point (3, 0) |
