- SA of square pyramid is 180 sq. units.
- Base Area of the triangular pyramid is larger that the base area of the square pyramid
- LA of SQ. pyramid is larger than the LA of the triangular pyramid are the correct statements regarding the given figures.
Step-by-step explanation:
Surface Area of the given pyramids can be found using the formula as,
SA = A + [tex]$\frac{1}{2}[/tex] ps
Where SA is the surface area
A is the area of the base
p is the perimeter of the base
s is the slant height
Area of the triangle = [tex]$\frac{1}{2} \times bh \\[/tex]
= [tex]$\frac{1}{2} \times 8\times 10[/tex]
= 40 sq. units
Perimeter of the triangle = 8 + 8 + 8 = 24 units
SA of triangular pyramid = 40 + (0.5 ×24×10)
= 160 sq. units
For square pyramid,
SA of square pyramid = 36 + (0.5 × 24 × 12)
= 180 sq. units
Lateral area of triangular pyramid = perimeter × slant height / 2
= 24 × 10 × 0.5
= 120 sq. units
LA of square pyramid = 24×12×0.5 = 144 sq. units
