Question

20 points and a brainliest! And PLEASE show your work.

Answer 1

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