Understanding Surface Area of a Cube

The video tutorial explains how to calculate the surface area of a cube by visualizing its six sides. It introduces the formula 6x squared for a cube with side length x. The tutorial then presents a problem where Jolene needs to paint two cube-shaped containers with side lengths of 2 and 1.5. The surface area for each cube is calculated using the formula, and the total surface area to be painted is determined by summing the individual areas. The video provides a step-by-step calculation, including multiplying decimals, to find the total surface area of 37.5 square units.

How many sides does a cube have?

• 8

• 6

• 5

• 4

Tags

CCSS.6.G.A.4

What is the formula for the surface area of a cube with side length x?

• 4x squared

• 5x squared

• 7x squared

• 6x squared

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the side length of the larger cube Jolene wants to paint?

• 1

• 1.5

• 2

• 2.5

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the side length of the smaller cube Jolene wants to paint?

• 2

• 2.5

• 1.5

• 1

Tags

CCSS.6.G.A.4

How do you calculate the surface area of a cube with side length 2?

• 6 times 2

• 6 times 2 squared

• 6 times 8

• 6 times 4

Tags

CCSS.6.G.A.4

What is the surface area of the cube with side length 2?

• 30

• 18

• 12

• 24

Tags

CCSS.6.EE.A.1

What is 1.5 squared?

• 3

• 1.5

• 4.5

• 2.25

Tags

CCSS.6.G.A.4

What is the surface area of the cube with side length 1.5?

• 12.5

• 13.5

• 15

• 9

What is the total surface area Jolene needs to paint?

• 30

• 37.5

• 42

• 24

If the units were given, what would be the unit for the total surface area?

• Linear units

• Square units

• No units

• Cubic units