Question

what is the surface area of th

Explanation:

Step1: Calculate area of square faces

There are 2 square faces with side - length 10 cm. Area of a square is $A = s^2$. So area of 2 squares is $2\times10\times10=200$ $cm^2$.

Step2: Calculate area of rectangular faces

There are 2 rectangular faces with dimensions 16 cm and 10 cm. Area of a rectangle is $A = l\times w$. So area of these 2 rectangles is $2\times16\times10 = 320$ $cm^2$.

Step3: Calculate area of triangular faces

There are 4 triangular faces with base 6 cm and height 16 cm. Area of a triangle is $A=\frac{1}{2}bh$. So area of 4 triangles is $4\times\frac{1}{2}\times6\times16=192$ $cm^2$.

Step4: Sum up all areas

Total surface area $S=200 + 320+192=712$ $cm^2$.

Answer:

$712$ $cm^2$