Step-4

Title: Surface Area of Pyramid

Grade: 4-a Lesson: S3-L6

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

Lesson Steps

Step Type Explanation Answer

1

Problem

The lateral surface area of the square pyramid is 660 square inches,the slant height of the pyramid is 15 inches, find its base length?

2

Step

The given values are

A = 660 sq.in and h = 15 in

3

Step

The lateral surface area (LSA) of a square pyramid is given by the formula

\$"LSA" = 1/2 ​times "Perimeter" times "Slant Height"\$

4

Hint

Perimeter = 4s

5

Step

Now plug the values in the formula

\$660 = 1/2 times 4s times 15\$

6

Step

Now let’s slove for s

⇒ \$660 = 2s times 15\$

⇒ \$660/15 = 2s\$

⇒ \$44 = 2s\$

⇒ s = 22

7

Step

Therefore, the base length of the square pyramid is 22 inches.

8

SumUp

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

9

Choice.A

This is incorrect because they provide base lengths that do not match the calculated value

25 inches

10

Choice.B

This is incorrect because they provide base lengths that do not match the calculated value

15 inches

11

Choice.C

This is incorrect because they provide base lengths that do not match the calculated value

18 inches

12

Choice.D

This answer is accurate as it correctly recognizes the square pyramid’s base length as 22 inches

22 inches

13

Answer

Option

D

14

SumUp

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


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