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3//14
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BOOKMARK
4
3 Find the volume and surface area of the following rectangular prism.
Volume:
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Surface Area:
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Question $3 / 14$ $\newline$ NEXT $\newline$ BOOKMARK $\newline$ $4$ $\newline$ $3$ Find the volume and surface area of the following rectangular prism. $\newline$ Volume: $\square$ $\newline$ Surface Area: $\square$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. Question

3 / 14

\newline

NEXT

\newline

BOOKMARK

\newline

4

\newline

3

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

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Volume:

\square

\newline

Surface Area:

\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. $\newline$ Assume the length $l$ is $10$ cm, width $w$ is $4$ cm, and height $h$ is $3$ cm. $\newline$ Volume = $l \times w \times h$
Volume Calculation: Volume = $10 \, \text{cm} \times 4 \, \text{cm} \times 3 \, \text{cm}$ $\newline$ Volume = $120 \, \text{cm}^3$
Calculate Surface Area: To find the surface area, calculate the area of all six faces and add them together. $\newline$ Surface Area = $2lw + 2lh + 2wh$
Surface Area Calculation: Surface Area = $2(10 \, \text{cm} \times 4 \, \text{cm}) + 2(10 \, \text{cm} \times 3 \, \text{cm}) + 2(4 \, \text{cm} \times 3 \, \text{cm})$ $\newline$ Surface Area = $2(40 \, \text{cm}^2) + 2(30 \, \text{cm}^2) + 2(12 \, \text{cm}^2)$
Final Surface Area: Surface Area = $80\,\text{cm}^2 + 60\,\text{cm}^2 + 24\,\text{cm}^2$ $\newline$ Surface Area = $164\,\text{cm}^2$

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