The **surface area** of the **pyramid **is **60 square feet **

The **surface area** of the **square prism** is **480 square feet **

The **surface area** of the **cube **is **180 square feet**

The **total surface area** is **720 square feet **

<h3>

**Area of Composite figures**</h3>

From the question, we are to **calculate **the** surface area **of each part of the **composite figure **

**Surface area** of a **cube **is given by

Where is the** length of a side **

But only have 5 surfaces of the cube are part of the **composite figure**

∴ Surface area of the **cubic part** of the figure =

From the given **information**,

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= **180 square feet**

The** surface area** of a **square prism** is given by the** formula**,

Where is the** length of the sides **and

is the **height **

But the <u>square surfaces</u> are **not** **part **of the **surface of the figure**

∴ Surface area of the square prism in the figure =

Surface area of the square prism in the figure =

From the given **information**,

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = **480 square feet **

The **pyramid **is a **square pyramid **

The** surface area** of a **square pyramid** is given by

Where is the** base length **

and is the** height of the prism**

But the <u>square base</u> is **not part **of the **surface of the figure**

∴ Surface area of the pyramid part of the figure =

Surface area of the pyramid part of the figure =

From the given **information**,

∴ Surface area of the pyramid part of the figure =

=

=

=

= 12 × 5

= **60 square feet**

Hence, the **surface area** of the **pyramid **is **60 square feet **

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = **720 square feet**

Hence, the **total surface area** is **720 square feet **

Learn more on **Calculating area of composite figures **here: brainly.com/question/13175744

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