Express the volume of the cube below in terms of a.
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Express the volume of the cube below in terms of a.
In this problem, we are tasked with expressing the volume of a cube given its side length .
To find the volume of the cube, we use the standard volume formula for a cube, which is given by:
Since the side length of this cube is , we substitute into the formula:
Thus, the volume of the cube in terms of is .
We compare this with the provided answer choices:
Our computed volume matches Choice 1.
Therefore, the correct choice is: .
Identify the correct 2D pattern of the given cuboid:
Volume measures the space inside the cube, which is length × width × height = a × a × a = . The coefficient 6 would be used for surface area since a cube has 6 faces.
represents area (2D measurement), while represents volume (3D measurement). Since a cube is 3-dimensional, we need the cubic power.
Think "cube means cubed"! A cube has 3 equal dimensions, so you multiply the side length by itself 3 times: a × a × a = .
The same rule applies! If the side length was 5 units, the volume would be cubic units. The variable 'a' just means we don't know the specific number.
That's the surface area formula! Volume asks "how much space is inside?" not "what's the total area of all faces?" For volume, we only care about length × width × height.
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