Find the surface area of the figure shown.
a. 368ft^2
b. 378ft^2
c. 528ft^2
d. 578ft^2

The correct answer is option d.  576 ft^2

Step-by-step explanation:

From the figure we can see that a prism

To find the surface area

Surface area = Base area + area of 2 triangles + Two side area

Base area = length * breadth = 15 * 12 = 180 ft^2

Area of triangle = bh/2 = (12 * 8)/2 = 48 ft^2

Area of two triangle = 48 * 2 = 96 ft^2

Area of one side = 15 * 10 = 150 ft^2

Area of two side = 2 * 150 = 300 ft^2

Surface area = 180 + 96 + 300 = 576 ft^2

The correct answer is option d.  576 ft^2

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

the answer for your question is

step-by-step explanation: