Step-4

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 total surface area of a pentagonal prism. Its height and apothem length are 12.5 in and 19.5 in, and base length is 14 in.

2

Step

The given values are

h = 12.5 in , b = 14 in and a = 19.5 in

3

Formula

The total surface area of a pentagonal prism is

\$"Total surface area" = 5"ab" + 5"bh"\$

4

Step

Now plug the values in the formula

\$"Total surface area" = 5 times 19.5 times 14 + 5 times 14 times 12.5\$

5

Step

After simplification

\$"Total surface area" = 1365 + 875\$

6

Step

Make it simpler

Total surface area = 2240 sq.in

7

Step

Therefore the total surface area of a pentagonal prism is 2240 sq.in.

8

SumUp

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

9

Choice.A

This is correct due to accurately done the calculation by using the formula

2240 sq.in

10

Choice.B

This is not correct because it doesn’t correctly calculate

2420 sq.in

11

Choice.C

This is not correct because it doesn’t correctly calculate

2204 sq.in

12

Choice.D

This is not correct because it doesn’t correctly calculate

2402 sq.in

13

Answer

Option

A

14

SumUp

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


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