Step-5

Title: Find the volume

Grade: 6-a Lesson: S2-L5

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the volume of a cube whose length of the longest diagonal is \$5\sqrt3\$ cm.

2

Step

The given value

length = \$5\sqrt3\$ cm

3

Formula:

Volume of cube

\$V = a^3\$

4

Hint

Here we find out the a value

\$\sqrt 3a = l\$

5

Step

Now substitute the values

\$\sqrt3a = 5\sqrt3\$

6

Step

After simplification

\$a = (5\sqrt 3) / (\sqrt 3)\$

7

Step

After simplification

a = 5 cm

8

Step

Now substitute the values

\$V = 5^3\$

9

Step

After simplification

\$V = 125 cm^3\$

10

Step

The volume of cube is \$V = 125 cm^3\$

11

Sumup

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

12

Choice.A

This is not correct because it does not match the calculated volume of cube

123 cu.mm

13

Choice.B

This is not correct because it does not match the calculated volume of cube

152 cu.mm

14

Choice.C

This is not correct because it does not match the calculated volume of cube

150 cu.mm

15

Choice.D

This is correct because it match the calculated volume of cube

125 cu.mm

16

Answer

Option

D

17

Sumup

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


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