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A rectangular prism has dimensions 2 cm by 2 cm by 3 cm. What are the surface area and volume?

1 Answer

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Volume is the easiest to solve. Simply multiply height by width by length (v=l•w•h)

We will plug in the values to get (v=2cm•2cm•3cm) —> (v=12cm cubed, written as 12cm^3)

Next we will find the surface area. The surface area is found with the sum of area of all of the sides.

Think of it as if the box was a hollow box, and you took apart each side and laid them flat.

2 sides of the rectangle will by 2cm by 2cm,
and 4 sides of the rectangle will by 2cm by 3cm.

2 sides • 2cm by 2cm = 8cm
4 sides • 2cm by 3cm = 24cm

8cm + 24cm = 32cm^2 total surface area

Answers:

V=12cm^3
SA=32cm^2

User Bcherny
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