Step-2

Title: Surface area for Prism & Sphere

Grade: 6-a Lesson: S3-L3

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Determine the surface area of the regular hexagonal prism if the height of the prism is 22 in and the length of the side of the base is 17 in.

2

Step

The given values area

h = 22 in and l = 17 in

3

Formula

Total Surface Area of Hexagonal Prism is

\$"Total surface area" = 6"ah" + 3\sqrt(3a^2)\$

4

Step

Now plug the values in the formula

\$"Total surface area" = 6 times 17 times 22 + 3 \sqrt(3 times (17)^2\$

5

Step

After simplification

\$"Total surface area" = 2244 + 1501.68\$

6

Step

Make it simpler

Total surface area = 3745.68 sq.in

7

Step

Therefore the total surface area of the hexagonal prism is 3745.68 sq.in.

8

SumUp

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

9

Choice.A

This is not correct because it seems to have an incorrect calculation

3754.68 sq.in

10

Choice.B

This is not correct because it does not satisfy the conditions of the problem and the calculations performed

3745.68 sq.in

11

Choice.C

This is not correct because it seems to have an incorrect calculation

3754.86 sq.in

12

Choice.D

This is not correct because it seems to have an incorrect calculation

3745.86 sq.in

13

Answer

Option

B

14

SumUp

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


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