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The solid shown has a volume of 9 units cubed determine the surface area of the solid?

The solid shown has a volume of 9 units cubed determine the surface area of the solid-example-1
User Ross Drew
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1 Answer

7 votes

Answer:

SA = 38 units²

Explanation:

The shape consists of 9 cubes of equal size, since the overall volume is 9 units³, each cube has a volume of 9/9 = 1 unit³

Since each block has a volume of 1, we know each side length is 1.

(the cube root of 1 is 1).

The surface area is the sum of all sides of the shape. Each side is a square that is 1 unit by 1 unit, so each side has an area of 1 unit².

The first and last block have 5 sides showing, and the 7 remaining blocks each have 4 sides showing. So we have

2(5) + 7(4) unit² for the surface area, or

10 + 28

38 units²

User Jesse Rosalia
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