Step-3

Title: Volume(3D)

Grade: 1400-a Lesson: S3-L7

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

Lesson Steps

Step Type Explanation Answer

1

Problem

A rectangular prism of volume \$4200(mm)^3\$ has a rectangular base of length 5 mm and width 8 mm. Find the height h of the prism.

2

Step

Given that the volume(v) of the rectangular prism is

length(l) is

width(w) is

\$4200(mm)^3\$

5 mm

8 mm

3

Formula:

Volume of rectangular prism is

\$"Volume"(v) = "length" times "width" times "height"\$

4

Step

Substitute the values into the formula

\$4200(mm)^3 = 5 mm times 8 mm times h\$

5

Step

solve for the height (h)

\$"h" = (4200(mm)^3) / (5 mm) times 8 mm\$

\$"h" = (4200(mm)^3)/(80(mm)^2)\$

\$"h" = 4200/80 = 105 mm\$

6

Step

So, the height (h) of the rectangular prism is 105 mm.

7

SumUp

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

8

Choice.A

It is the Correct option. Calculated height based on given dimensions and volume

105 mm

9

Choice.B

This option is larger than the correct answer, so it is not correct

110 mm

10

Choice.C

This option is larger than the correct answer, so it is not correct

112 mm

11

Choice.D

This option is smaller than the correct answer, so it is not correct

15 mm

12

Answer

Option

A

13

SumUp

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


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