What is the surface area of the pyramid to the nearest whole number?

256 cm^2
128 cm^2
64 cm^2
192 cm^2

64 cm²

Step-by-step explanation:

To find the area of the square pyramid:

We use the formula;

Area of the square pyramid =   B +  p . l

Where b = area of the base

p = perimeter

l = slant height

Area of base =  length × breadth

                        =  4 cm  ×   4 cm  

                        =  16 cm²

slant height is given as 6 cm

Perimeter =  4 cm + 4 cm + 4 cm + 4 cm = 16 cm

Now we can plug all our variable into the formula;

Area of the square pyramid =   B +  p . l

                                               =16 cm² +  ×  16 cm  × 6 cm

                                                = 16 cm²  +  48 cm²

                                                  =  64 cm²

(   Note; the value of  ×  16 cm  × 6 cm = 48 cm²)

Therefore the surface area of the pyramid is 64 cm²

g(x) is the negative form of f(x)? because whenever its the negative form it reflects its self over the x axis. idk if this is right though.

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.