Answer:
The volume and surface area of this square pyramid is approximately 277.33 [tex]m^3[/tex] and 281.6 [tex]m^2[/tex] respectfully.
Step-by-step explanation:
To find the volume of a pyramid, you need to multiply the base area by the vertical height and divide it by 3. In this case, the volume of the square pyramid would be [tex]\frac{8*8*13}{3}[/tex] = [tex]\frac{64*13}{3}[/tex] = [tex]\frac{832}{3}[/tex] ≈ 277.33 [tex]m^3[/tex]. If you want to find the surface area of a shape, you have to calculate the area of every side making up the 3-dimensional figure and add them all together to figure out the surface area. In this case, the surface area would be [tex]\frac{13.6*8}{2} *4 + 8^2[/tex] = [tex]\frac{108.8}{2} * 4 + 64[/tex] = [tex]54.4 * 4 + 64[/tex] = [tex]217.6+64[/tex] = 281.6 [tex]m^2[/tex]. So the volume of the square pyramid would be approximately 277.33 [tex]m^3[/tex], and the surface area is 281.6 [tex]m^2[/tex].
