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Question 3/14
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3 Find the volume and surface area of the following rectangular prism.
volume:
◻
Surface Área:
◻

Question $3$ / $14$ $\newline$ NEXT $\newline$ BOOKMARK $\newline$ $3$ Find the volume and surface area of the following rectangular prism. $\newline$ volume: $\square$ $\newline$ Surface Área: $\square$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Question

3

/

14

\newline

NEXT

\newline

BOOKMARK

\newline

3

Find the volume and surface area of the following rectangular prism.

\newline

volume:

\square

\newline

Surface Área:

\square

Question prompt: Question prompt: Find the volume and surface area of the rectangular prism.
Calculate volume: To find the volume, multiply the length, width, and height. $\newline$ Let's say the length $l$ is $12\,\text{cm}$ , width $w$ is $7\,\text{cm}$ , and height $h$ is $5\,\text{cm}$ . $\newline$ Volume = $l \times w \times h$ $\newline$ Volume = $12\,\text{cm} \times 7\,\text{cm} \times 5\,\text{cm}$
Volume calculation: Now, calculate the volume. $\newline$ Volume = $12 \times 7 \times 5$ $\newline$ Volume = $420$ cubic centimeters
Calculate surface area: To find the surface area, calculate the area of all six faces of the prism. $\newline$ Surface Area = $2lw + 2lh + 2wh$ $\newline$ Surface Area = $2(12 \, \text{cm} \times 7 \, \text{cm}) + 2(12 \, \text{cm} \times 5 \, \text{cm}) + 2(7 \, \text{cm} \times 5 \, \text{cm})$
Surface area calculation: Now, calculate the surface area. $\newline$ Surface Area = $2(12 \times 7) + 2(12 \times 5) + 2(7 \times 5)$ $\newline$ Surface Area = $2(84) + 2(60) + 2(35)$ $\newline$ Surface Area = $168 + 120 + 70$

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