Answer:
Volume = 128
Surface area = 179.2
Step-by-step explanation:
The figure appears to be a square pyramid
The volume of a pyramid can be calculated using the formula : a²(h/3)
where a = base length and h = height
Here the base length appears to be 8 and the height appears to be 6
So we have V = a²(h/3) and a = 8 and h = 6
==> plug in values
V = 8²(6/3)
==> evaluate exponent
V = 64(6/3)
==> divide 6 by 3
V = 64(2)
==> multiply 64 and 2
V = 128
Formula for surface area of a square pyramid is SA = a² + 2al
where a = base length and l = slant height
Looking at the pyramid the slant height appears to be 7.2 and the base length is 8
so we have SA = a² + 2al and a = 8 and l = 7.2
==> plug in values
SA = 8² + 2(8)(7.2)
==> evaluate exponent
SA = 64 + 2(8)(7.2)
==> multiply 2, 8 and 7.2
SA = 64 + 115.2
==> add 64 and 115.2
SA = 179.2
