Question

PLEASE HELP!!!!!!!

What is the surface area of the pyramid?

1.16 square feet
1.76 square feet
0.96 square foot
4.16 square feet

Answer 1

4.16 square feet

the base it 0.4 x 0.4=0.16

the triangles 0.2 x 5 =1

1 x 4 = 4 +0.16= 4.16

Answer 2

well, the pyramid has a square for its base, a 0.4x0.4 square, and it has 4 triangular faces, each of which has a base of 0.4 and a height/altitude of 5.

notice, the slant-height of the pyramid is just the altitude of a triangular face.

so we can just get the area of the base and the triangular faces, sum them up, and that's the area of the pyramid.

`\bf \stackrel{base}{(0.4\cdot 0.4)}~~+~~\stackrel{4~triangular~faces}{4\left[ \cfrac{1}{2}(0.4)(5) \right]}\implies 0.16~~+~~4\implies 4.16`