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How many cubes are in the prism (Its surface area and i'm confused)

How many cubes are in the prism (Its surface area and i'm confused)-example-1
User Kamaal ABOOTHALIB
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2 Answers

27 votes
27 votes

Answer:

432 cubes

Explanation:

(9)(8)(6)=432

Hope this helps

User Jon Sud
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3.0k points
19 votes
19 votes

Answer:

432

Explanation:

The front face of the prism (green) is 6 cubes high and 8 cubes wide. So, the front layer of cubes is 6×8 = 48 cubes.

The figure shows you there are 9 layers like this making up the whole prism.

Then the volume of the prism is ...

(9 layers) × (48 cubes/layer) = 9×48 cubes = 432 cubes

There are 432 cubes currently in the prism.

_____

Additional comment

The picture here does not ask for the surface area of the prism. The area would be the sum of the areas of each of the surfaces.

The three surfaces we can see (red, green, blue) have areas of 9×8 = 72, 6×8 = 48, and 6×9 = 54 square units, respectively. These areas total 174 square units, but represent only half of the total area.

The other half of the area is the same (each hidden face has the same area as its visible opposite). So, the total surface area of this prism is 2×174 = 348 square units. (1 unit = small cube edge length).

User SnakeDrak
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