Calculate the TSA of a cupboard which measures 12cm by 10cm by 8cm.?
TSA = total surface area???
With these measurements this cupboard would hold only one cup.
Are you sure of these measurements?
well, whatever the size of the intended contents, if the dimensions are x,y,z, the area consists of 3 pairs of rectangles:
2(xy+xz+yz)
To calculate the Total Surface Area (TSA) of a cupboard, you need to add up the areas of all its surfaces.
A cupboard generally has six surfaces: the top, bottom, back, front, and two sides. Let's calculate the areas of each surface and add them up to find the TSA.
1. The top and bottom surfaces:
Since the cupboard measures 12cm by 10cm, the top and bottom surfaces have the same area.
Area of the top surface = length × width = 12cm × 10cm = 120 cm²
Area of the bottom surface = 120 cm²
2. The back and front surfaces:
The back and front surfaces also have the same area.
Area of the back surface = length × height = 12cm × 8cm = 96 cm²
Area of the front surface = 96 cm²
3. The two side surfaces:
Each side has a different length and width.
Area of the first side surface = width × height = 10cm × 8cm = 80 cm²
Area of the second side surface = 80 cm²
Now, let's add up all the surface areas to calculate the TSA:
TSA = top surface area + bottom surface area + back surface area + front surface area + 1st side surface area + 2nd side surface area
TSA = 120 cm² + 120 cm² + 96 cm² + 96 cm² + 80 cm² + 80 cm²
TSA = 592 cm²
Therefore, the Total Surface Area (TSA) of the given cupboard is 592 cm².