Answer:
Step-by-step explanation:
A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore
Opposite side = 2/2 = 1 yrd
Slant height, L = hypotenuse
Adjacent side = 2 yrd
Hypotenuse² = opposite side² + adjacent side²
L² = 1² + 2² = 5
L = √5 = 2.24 yrds
Slant height = 2.24 yrds
B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24
Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²
Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²
surface area of composite figure = 20 + 8.96 = 28.96 yrds²
C) volume = 1/3 × base area × height
Volume = 1/3 × 2² × 2 = 2.67 yrds³
