The surface area of the prism which represents the amount of tile that will cover the pedestal of the building would be = 3,960cm².
How to calculate the area of the pedestal of the building?
To calculate the area of the pedestal of the building, the following steps should be taken as follows:
The total surface area of the pedestal is that area of a triangular prism such as
= (S1+S2+S3)l +bh
Where:
S1 = 10cm
S2 = 16cm
S3 = 10cm
l = 30cm
Base area (b) = 30*16 = 480cm²
height= 6cm
The surface area of the triangular prism would be :
= (10+16+10)30+480*6
= 36*30+480*6
= 1080+2880
= 3,960cm²
Therefore, the surface area of the prism which represents the amount of tile that will cover the pedestal of the building would be = 3,960cm².