Step-4

Title: Area and Perimeter

Grade: 6-a Lesson: S2-L6

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the base length of the hexagonal prism if the total surface area is 268 sq. ft, the length is 5.4 ft, and the height is 8.2ft.

2

Step

The given values are

a = 268 sq.ft , l = 5.4 ft and h = 8.2 ft

3

Formula:

The lateral surface area of a hexagonal prism is

\$A = 6 times (length of one side of the hexagonal base) times height\$

4

Step

Now substitute the values

\$268= 6 times (length of one side of the hexagonal base) times 8.2\$

5

Step

After simplification

\$length of one side of the hexagonal base = 268 /6 times 8.2\$

6

Step

After simplification

Length of one side of the hexagonal base = 5.44 ft

7

Formula:

Base length is

\$Base length = 6 times (length of one side of the hexagonal base)\$

8

Step

Now substitute the values

\$Base length = 6 times 5.44\$

9

Step

After simplification

Base length = 32.64 ft

10

Step

The base length of the hexagonal prism is 32.64 ft

11

Sumup

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

12

Choice.A

This could be the correct answer if the calculations are done correctly

32.64 ft

13

Choice.B

This could be incorrect if the calculations lead to a different value

32 ft

14

Choice.C

This could be incorrect if the calculations lead to a different value

32.46 ft

15

Choice.D

This could be incorrect if the calculations lead to a different value

33 ft

16

Answer

Option

A

17

Sumup

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


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