Question

volume and surface area review packet name: find the volume of each figure.

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.

Step2: Calculate volume of first rectangular - prism

For the first prism with $l = 8$ m, $w = 5$ m, and $h = 20$ m, $V_1=8\times5\times20=800$ m³.

Step3: Calculate surface - area formula for rectangular - prism

The surface - area formula for a rectangular - prism is $SA = 2(lw+lh + wh)$.

Step4: Calculate surface area of first rectangular - prism

$SA_1=2(8\times5 + 8\times20+5\times20)=2(40 + 160+100)=2\times300 = 600$ m².

Step5: Calculate volume of second rectangular - prism

For the second prism with $l = 4$ in, $w = 3$ in, and $h = 15$ in, $V_2=4\times3\times15 = 180$ in³.

Step6: Calculate surface area of second rectangular - prism

$SA_2=2(4\times3+4\times15 + 3\times15)=2(12+60 + 45)=2\times117=234$ in².

Answer:

For the first figure: Volume is 800 m³, Surface - area is 600 m².
For the second figure: Volume is 180 in³, Surface - area is 234 in².