11 6 f Area Surface Area Volume Volume

11 – 6 f 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) w w

� Find area of rectangle and triangle and add them together.

The dimensions of the dog house are a = 3 feet, b = 1 foot, and c = 1. 8 feet Left Right If Bradley plans to paint the outside of the dog house Rectangle blue, not including the bottom, how many square feet of Front paint will he use? CALCULATE SURFACE AREA Triangle To calculate how many square feet of Right paint Bradley will use, first identify the square Left sides of the dog house to be painted. Front square Four sides of the cube base (four squares) Back and four sides of the triangular prism square top (two triangles and two rectangles) will be painted.

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? 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(b 1 + b 2) h = ½ ((2*6) + 6) 6 = ½ (12 +6) 6 = ½ (18) 6 =9*6 = 54 in squared Area of Rect = = Add the area of the rectangle and the trapezoid = 54 + 100 = 154 in squared b*h (4*5)5 (20)5 100 in squared

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 Bottom Rectangle Vol = acd = (4)(10)(3) = (40)(3) = 120 in. cubed Add the volumes of both rectangles together 60 + 120 = 180 in cubed