![]() Surface area is just the sum of the areas of each of the faces. There’s a top and bottom, a right and left face, and a front and back face. The calculations for the surface area of cubes and boxes are not so different from each other. However, to get the math just right, the director needs our help with calculating the surface area of prisms, cubes and boxes. In order to save the city, he hatches a plan to cover all the buildings in a thin layer of salt, which will protect the city from the slugs’ slime. In Torpintino’s new movie, a famous scientist, Navy SEAL, and men’s fashion model is elected President, but on his first day in office, the world is attacked by an onslaught of really, really big space slugs. He’s pitching his latest idea to a big time studio executive: Attack of the Really, Really Big Slugs from Outer Space, but the studio executive needs a bit of convincing. Now, begin your homework.Sam Torpintino is an aspiring movie director who is looking for his big break. Prism = 2(lw) + 2(wh) + 2(lh) SA Cube = 6s2ġ) What is the surface area of a pizza box that has a length of 10 in, a width of 12 in, and a height of 2 in? How much wrapping paper is needed to cover a box that is 7 cm long, 8 cm wide, and 3 cm tall? What is the surface area of a Rubik’s Cube that is 3 inches tall? Which has more surface area, a cube that is 10 in wide, or a rectangular prism that is 12 in wide, 10 in long, and 8 in tall? 1) 328 in ) 202 cm2 3) 54 in ) cube = 600in2, rect. What is the area of this cube, if its height is 8 in.? 6 Ģ3 Try These: SA Rect. What do you think the formula is? Yea, good job!! SA Cube = 6s2 (s = length of one side) 25 = 150 ft2 So, for SA of a cube, find the area of one face and then multiply by 6.5 = 25 ft2 Since there are 6 equal faces, what is the surface area? 6.It has 6 square faces! Using the example to the left, what is the area of 1 face? 5 in.ġ7 Now we just need to add all the areas of the sides together.ġ8 The total Surface Area for this rectangular prism isĢ0 Try This One! Use the formula: 2(lw) + 2(wh) + 2(lh)Ģ(3 BOTTOM TOPġ6 70 in2 Now there are 2 rectangles that each have an area of 70 sq. ![]() 10 in.ġ4 Do you see another face that is just like the GREEN face?ġ5 Yes, it’s on the bottom. What are the dimensions of this rectangle? 7 in. 7 in.ġ0 Do you see another face that is just like the BLUE face?ġ2 28 in2 Now there are 2 rectangles that each have an area of 28 sq. What are the dimensions of this rectangle? 4 in. FRONT BACKĨ 40 in2 Now there are 2 rectangles that each have an area of 40 sq. Where is it located? Keep an eye on the next screen!ħ Yes, it’s on the back. 10 in.Ħ Do you see another face that is just like the RED (front) face? This is another example of surface area of a rectangular prism.Ĥ Good thinking! Looking at the net, you see that TO FIND THE SURFACE AREA OF A RECTANGULAR PRISM, YOU NEED TO FIND THE AREA OF ALL 6 FACES. When wrapping gifts, you are covering the outside of the box. ![]() Presentation on theme: "Surface Area of Rectangular Prisms and Cubes"- Presentation transcript:ġ Surface Area of Rectangular Prisms and CubesĪpplication: How much cardboard does it take to make a cardboard box? The manufacturers have to know this in order to make the boxes.ģ Another example.
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