Question

5th 9. multiplication sentence ____________ volume = __________ 11. multiplication sentence __________ volume = __________ 13. multiplication sentence __________ volume = ____________ 15.

Explanation:

Step1: Recall volume formula for rectangular - prism

The volume formula for a rectangular - prism is $V = l\times w\times h$, where $l$ is the length, $w$ is the width, and $h$ is the height.

For the first rectangular - prism (problem 9):

Step2: Identify dimensions

$l = 14$ cm, $w = 7$ cm, $h = 12$ cm.

Step3: Write multiplication sentence

$14\times7\times12$

Step4: Calculate volume

$V=14\times7\times12 = 1176$ $cm^{3}$

For the second rectangular - prism (problem 11):

Step5: Identify dimensions

$l = 15$ cm, $w = 6$ cm, $h = 8$ cm.

Step6: Write multiplication sentence

$15\times6\times8$

Step7: Calculate volume

$V = 15\times6\times8=720$ $cm^{3}$

For the third rectangular - prism (problem 13):

Step8: Identify dimensions

$l = 16$ cm, $w = 7$ cm, $h = 28$ cm.

Step9: Write multiplication sentence

$16\times7\times28$

Step10: Calculate volume

$V=16\times7\times28 = 3136$ $cm^{3}$

For the fourth rectangular - prism (problem 15):

Step11: Assume dimensions (missing one dimension, assume width is not shown)

Let's assume the visible dimensions are $l = 16$ cm, $h = 5$ cm. If we assume the width is $w = 1$ cm (since no other information is given for the third - dimension), the multiplication sentence is $16\times5\times1$.
$V=16\times5\times1 = 80$ $cm^{3}$ (This is a best - case assumption with the given incomplete information)

Answer:

1. Multiplication sentence: $14\times7\times12$; Volume: $1176$ $cm^{3}$
2. Multiplication sentence: $15\times6\times8$; Volume: $720$ $cm^{3}$
3. Multiplication sentence: $16\times7\times28$; Volume: $3136$ $cm^{3}$
4. Multiplication sentence: $16\times5\times1$; Volume: $80$ $cm^{3}$