Exploring Surface Area and Net

Where is the cube's front?

Where is the cube's top?

Tags

CCSS.HSG.MG.A.1

Where is the cube's back?

Where is the cube's bottom?

Tags

CCSS.HSG.MG.A.1

Where are the cube's sides?

Tags

CCSS.6.G.A.4

Using what we know about how to find the area of a polygon, how do you think you would find the surface area of a prism?

• Measure the sides of each face on the prism then add them all

• Find the volume of the prism then multiply it times the number of faces

• Find the area of each face then multiply it by the number of faces on the prism

• Find the area of each face then add them all

Tags

CCSS.7.G.B.6

What is the formula you would use to find the surface area of each face on a rectangular prism

Tags

CCSS.7.G.B.6

The individual units in the Rubiks cube are 1 inch on each side. Based on this information take a guess at what the surface area of the cube would be.

Answer: __ units²

Answer explanation

Each unit in the Rubiks cube is 1 in. There are 3 for the base and 3 for the height. A=BH so A=9. Since the cube as 6 sides we can add 9+9+9+9+9+9 or we multiply 9x6 and find our surface area to be 54 in²

Tags

CCSS.6.G.A.4

The rectangular prism's top and bottom bases have an area of ​ (a)   cm². It's sides are ​ (b)   cm². It's front and back are ​ (c)   cm². The rectangular prism has a surface area of ​​ (d)   cm².

• 36
• 12
• 27
• 150

Answer explanation

The length of the bottom and top rectangles are 9 in² and their widths are 3 in². With a=lw the area of the top and bottom rectangles = 27 in². The front and back rectangles have a length of 9 in² and a height of 4 in². Their area's are 36 in². The two rectangles on the side have a width of 3 in² and a height of 4 in², so their areas are 12 in². After adding all 6 sides together we find out the rectangular prism's surface area = 150 in²

Tags

CCSS.7.G.B.6

If you were trying to find out the surface area of a triangular prism, what steps would you do. Reorder the steps from first to last, starting with finding the area of one triangle.

Tags

CCSS.7.G.B.6