Question

name tievon clay find the volume 2 (metric) find the volume of these rectangular prisms. they are not to scale!

Explanation:

Step1: Recall volume formula

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

Step2: Calculate first prism volume

For the first prism with $l = 2$cm, $w = 2$cm, $h = 2$cm, $V_1=2\times2\times2 = 8$ $cm^3$.

Step3: Calculate second prism volume

For the second prism with $l = 6$cm, $w = 2$cm, $h = 2$cm, $V_2=6\times2\times2 = 24$ $cm^3$.

Step4: Calculate third prism volume

For the third prism with $l = 2$cm, $w = 1$cm, $h = 8$cm, $V_3=2\times1\times8 = 16$ $cm^3$.

Step5: Calculate fourth prism volume

For the fourth prism with $l = 7$cm, $w = 2$cm, $h = 2$cm, $V_4=7\times2\times2 = 28$ $cm^3$.

Step6: Calculate fifth prism volume

For the fifth prism with $l = 3$cm, $w = 3$cm, $h = 3$cm, $V_5=3\times3\times3 = 27$ $cm^3$.

Step7: Calculate sixth prism volume

For the sixth prism with $l = 3$cm, $w = 3$cm, $h = 5$cm, $V_6=3\times3\times5 = 45$ $cm^3$.

Step8: Calculate seventh prism volume

For the seventh prism with $l = 5$cm, $w = 3$cm, $h = 4$cm, $V_7=5\times3\times4 = 60$ $cm^3$.

Step9: Calculate eighth prism volume

For the eighth prism with $l = 2$cm, $w = 2$cm, $h = 10$cm, $V_8=2\times2\times10 = 40$ $cm^3$.

Step10: Calculate ninth prism volume

For the ninth prism with $l = 8$cm, $w = 2$cm, $h = 4$cm, $V_9=8\times2\times4 = 64$ $cm^3$.

Answer:

$8$ $cm^3$, $24$ $cm^3$, $16$ $cm^3$, $28$ $cm^3$, $27$ $cm^3$, $45$ $cm^3$, $60$ $cm^3$, $40$ $cm^3$, $64$ $cm^3$