Step-5

Title: Volume of Prism

Grade: 4-a Lesson: S3-L5

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

Lesson Steps

Step Type Explanation Answer

1

Problem

The volume of the rectangular prism is 562 cubic in, length, and width are 13 in, and 9 in, find its height.

2

Step

The given values are

V = 562 cu.in and l = 13 in and w = 9 in

3

Formula

To find the height (h) of the rectangular prism, you can rearrange the volume formula

\$V = "Area of base" times "height"\$

4

Formula

For a rectangular prism, the area ( area of base ) can be found using the formula

\$"Area of base" = "length" times "width"\$

5

Step

Now plug the values into the area of base formula

\$"Area of base" = 13 times 9\$

6

Step

After simplification

Area of base = 117 sq.in

7

Step

Now, rearrange the volume formula to solve for h

\$h = ("volume")/"area of base"\$

8

Step

Now plug the values into the height of rectangular prism formula

\$h = 562/(117)\$

9

Step

After simplification

h = 4.80 in

10

Step

Therefore, the height of the rectangular prism is approximately 4.80 inches.

11

SumUp

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

12

Choice.A

This is not correct because it is incorrectly calculate the height of the rectangular prism

8.40 in

13

Choice.B

This is correct because it correctly calculates the height of the rectangular prism given the volume and dimensions

4.80 in

14

Choice.C

This is not correct because it is incorrectly calculate the height of the rectangular prism

8.04 in

15

Choice.D

This is not correct because it is incorrectly calculate the height of the rectangular prism

4.08 in

16

Answer

Option

B

17

SumUp

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


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