Calculate Surface Area: Cube with 3 cm Edges

A cube has edges measuring 3 cm.

Calculate the surface area of the cube.

333

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Step-by-step video solution

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00:00 Calculate the surface area of the cube
00:03 Edge length according to the given data
00:06 We'll use the formula for calculating cube surface area
00:10 6 times the edge squared
00:13 We'll substitute the edge length and solve for surface area
00:16 Calculate 9 squared
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

A cube has edges measuring 3 cm.

Calculate the surface area of the cube.

333

2

Step-by-step solution

To calculate the surface area of a cube, we use the formula:

Surface Area=6a2 \text{Surface Area} = 6a^2

where a a is the length of each edge of the cube.

Given a=3 cm a = 3 \text{ cm} , we substitute this value into the formula:

Surface Area=6×(3)2 \text{Surface Area} = 6 \times (3)^2

=6×9 = 6 \times 9

=54 cm2 = 54 \text{ cm}^2

Therefore, the surface area of the cube is 54 cm2 54 \text{ cm}^2 .

This matches choice 4.

3

Final Answer

54 54 cm².

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A cube has a total of 14 edges.

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