Question

the solid below is made from 1 foot cubes. find the total surface area of t your answer.

Explanation:

Step1: Calculate the area of one face

Since each cube has a side length of \(1\) foot, the area of one face of a cube is \(1\times1 = 1\) square foot.

Step2: Count the number of faces on each side

• Front and back:
• For the front view: There are \(8\) faces. Since the back view has the same number of faces as the front view, the total number of faces for front and back is \(8\times2=16\).
• Left and right:
• For the left view: There are \(6\) faces. Since the right view has the same number of faces as the left view, the total number of faces for left and right is \(6\times 2 = 12\).
• Top and bottom:
• For the top view: There are \(8\) faces. Since the bottom view has the same number of faces as the top view, the total number of faces for top and bottom is \(8\times2=16\).

Step3: Calculate the total surface area

Sum up the number of faces from all sides. The total number of faces is \(16 + 12+16=44\). Since the area of one face is \(1\) square foot, the total surface area is \(44\times1\) square feet.

Answer:

\(44\)