given that the total surface area of a cuboid with a square base is 66cm^2 and the total length of the sides is 40c. Find the possible volume of the cuboid.

660cm^3

Step-by-step explanation:

to find the volume of a square with surface area, you multiply the base by the height. So the base is 66 and the height is 10(because 40/4=10). Then 66x10=660. So 660cm^3 would be your answer. Hope that helps!

36 cm³

≈ 35.85 cm³

Step-by-step explanation:

Let side of the base be x and height be y

Then we have equatins for total surface area and total side length:

Substituting y in the first equation:

Solving the quadratic equation we get roots of:

For x = 3, the value of y:

For x = 11/3, the value of y:

Based on the found values we get 2 possible volumes:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: its the third option.

step-by-step explanation:

i just took the test.