Volume of Rectangular Prisms II - Item 2271
Qu
Which expression gives the correct volume of the figure?
TO in
CLEAR
A.(10 x 4 x 5)+(5 x 5 x 5) cubic inches
B.(10 + 4) X5 X 5 square inches
C.10 x 5 x 9 cubic inches
F.4 x(5 + 5 + 5) square inches

A. (10x4x5) + (5x5x5) Cubic Inches

Step-by-step explanation:

Unit must be cubic inches because you are discussing volume.

Calculate volume of bottom rectangular prism first, then the volume of the upper cube.

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1