Step-by-step explanation:
The dimensions are given in the attached picture.
Find the slant height L first:
- L = [tex]\sqrt{(B - b)^2+h^2} =\sqrt{(5-3)^2+4.8^2}= \sqrt{27.04} =5.2[/tex]
Total surface area of the frustum:
- TSA = [1/2*4*5.2*(10+6)] + 6² + 10² = 302.4 cm²
Find the height H of the pyramid using similar triangles.
The big triangle (sides H and 5) is similar to smaller one (sides 2 and 4.8) per AA similarity.
The ratio of corresponding sides:
- H/4.8 = 5/2
- H = 4.8*2.5
- H = 12 cm
