SaiBook.us Geometry

Home Course Section

Schedule Admission Social

Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Surface area for Cube & Cylinder

Grade: 6-a Lesson: S3-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	The surface area of a cube is 75 square inches. If the cube is painted on all its faces, what is the total area covered by the paint?
2	Step	The given value is	surface area = 75 sq.in
3	Formula	The surface area of cube is	\$"A"_"f" = ("surface area")/6\$
4	Step	Now plug the values in the formula	⇒ \$"A"_"F" = 75/6\$ ⇒ \$"A"_"f" = 12.5\$
5	Step	The total area covered by the paint is	\$"Total area covered" = 6 times "A"_"f"\$
6	Step	Now plug the values in the formula	\$"Total area covered" = 6 times 12.5\$
7	Step	After simplification	Total area covered = 75 sq.in
8	Step	Therefore, the total area covered by the paint is 75 sq.in.
9	SumUp	Can you summarize what you’ve understood in the above steps?
10	Choice.A	Option A is not correct because it represents the area in square centimeters	75 sq.cm
11	Choice.B	OptionB is correct because it correctly represents the total area covered by the paint	75 sq.in
12	Choice.C	Option C is correct because it correctly represents the total area covered by the paint	75 in
13	Choice.D	Option D represents an incorrect value and uses a different unit	65 cm
14	Answer	Option	B
15	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The surface area of a cube is 75 square inches. If the cube is painted on all its faces, what is the total area covered by the paint?

Step

The given value is

surface area = 75 sq.in

Formula

The surface area of cube is

\$"A"_"f" = ("surface area")/6\$

Step

Now plug the values in the formula

⇒ \$"A"_"F" = 75/6\$
⇒ \$"A"_"f" = 12.5\$

Step

The total area covered by the paint is

\$"Total area covered" = 6 times "A"_"f"\$

Step

Now plug the values in the formula

\$"Total area covered" = 6 times 12.5\$

Step

After simplification

Total area covered = 75 sq.in

Step

Therefore, the total area covered by the paint is 75 sq.in.

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

Option A is not correct because it represents the area in square centimeters

75 sq.cm

Choice.B

OptionB is correct because it correctly represents the total area covered by the paint

75 sq.in

Choice.C

Option C is correct because it correctly represents the total area covered by the paint

75 in

Choice.D

Option D represents an incorrect value and uses a different unit

65 cm

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?