11 – 6f Area, Surface Area & Volume

Volume = Bw B = Area of the base w = width

Area h is the height of the line that is perpendicular to the base Area of a parallelogram = bh

B = Base of prism which is a triangle (use the area of a triangle formula)

Find area of rectangle and triangle and add them together.

Four sides of the cube base (four squares) The dimensions of the dog house are a = 3 feet, b = 1 foot, and c = 1.8 feet Left Rectangle Right Rectangle If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use? CALCULATE SURFACE AREA Front Triangle To calculate how many square feet of paint Bradley will use, first identify the sides of the dog house to be painted. Right square Left square Front square Four sides of the cube base (four squares) and four sides of the triangular prism top (two triangles and two rectangles) will be painted. Back square

If the block was cube-shaped with side lengths of 10 inches, and the hole had side lengths of 3 inches, how much wood was left after the hole was cut out? 10 3 3 10 Find volume of large cube Find volume of hole (small cube) Subtract large cube volume from hole (small cube) volume

If a = 6 in and b = 5 in, what is the area of the sketch? Since this is an unusual shape, divide it up into a trapezoid and a rectangle. Area of Trapezoid = ½(b1 + b2) h = ½ ((2*6) + 6) 6 = ½ (12 +6) 6 = ½ (18) 6 = 9 * 6 = 54 in squared Area of Rect = b * h = (4*5)5 = (20)5 = 100 in squared Add the area of the rectangle and the trapezoid = 54 + 100 = 154 in squared

Add the volumes of both rectangles together If a = 4 inches, b = 5 inches, c = 10 inches, and d = 3 inches, what is the volume of the cake? Top Rectangle Vol = abd = (4)(5)(3) = (20)(3) = 60 in. cubed Add the volumes of both rectangles together 60 + 120 = 180 in cubed Bottom Rectangle Vol = acd = (4)(10)(3) = (40)(3) = 120 in. cubed