Question

A pyramid unfolds to form $4$ triangles and a square. The height of each triangle is given as $3$ meters and the base length of the triangle is $4$ meters. What is the area of this shape?

• A. $16$ sq m
• B. $24$ sq m
• C. $40$ sq m
• D. $32$ sq m

Answer 1

The correct option is C $40$ sq m

Let’s draw the unfolded pyramid.
The area of the shape $=4\times$ area of each triangle + area of the square

Area of each triangle $=\frac{1}{2}\times 3\times 4=6$ sq m
Area of the square is $=4\times 4=16$ sq m
Hence, area of closed figure $=4\times 6+16=24+16=40$ sq m