Question

Two-inch cubes are stacked as shown in the drawing. What is the total surface area?

A) 30 sq. in
B) 60 sq. in
C) 80 sq. in
D) 120 sq. in

Answer 1

The answer is D.) 120 sq.in

Explanation:

Count the faces that show, multiply the faces by the area of each square. There area 30 sides/faces showing and the area of each square is 4, so 30 x 4 = 120 square inches.

Answer 2

Note: As you have not added the drawing. So, I assume the total number of two-inch cubes are stacked are FIVE. So, I will explain based on that assumption which anyways will clear your concept.

Answer:

The total surface are will be:
`\boxed{120\:\:sq.in}`

Explanation:

As we know that

• A cube contains
  `6` faces of equal area.

So, the total surface area of the cube is equal to
`6` multiplied by the area of one of the faces.

As the edge of the cube = 2 inches

So, the area of one of the faces is:

`2* 2=4\:\:sq.in`

Thus, the total area of the cube is:

`6* \:4=24\:\:sq.in`

Assuming there are total 5 cubes which are stacked, so the total surface are will:

`24* 5=120\:\:sq.in`

Therefore, the total surface are will be:
`\boxed{120\:\:sq.in}`