Question

Tony needs to create a platform shaped like the diagram with the labeled dimensions.

Answer 1

135 cubic feet of concrete are required to create the platform.

Step-by-step explanation:

The dimension of lower step is 6 ft× 3 ft× 1.5 ft

and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft

Therefore concrete are required to make lower step = (6×3×1.5) cubic feet

                                                                                       = 27 cubic feet

and concrete are required to make upper step = (6×6×3) cubic feet

                                                                               =108 cubic feet

∴(108+27) cubic feet = 135 cubic feet of concrete are required.

Answer 2

Answer:

The total volume of concrete will be $135\ ft^3$

Step-by-step explanation:

Given the dimensions of the diagram.

Let us divide the diagram into two diagram. Diagram-1 and Diagram-2

The dimensions of Diagram-1 will be. (See attachment)

Length $9\ ft$, Height $1.5\ ft$ , And width $6\ ft$.

Then the volume of Diagram-1 will be

$V_1=l\times w\times h\\V_1=9\times 6\times 1.5\\V_1=81\ ft^3$

Now, the dimensions of Diagram-2 will be. (See attachment)

Length $6\ ft$, Height $1.5\ ft$, And width

Then the volume of Diagram-2 will be

$V_2=l\times w\times h\\V_2=6\times 6\times 1.5\\V_2=54\ ft^3$

So, the total volume will be

$V=V_1+V_2\\V=81+54\\V=135\ ft^3$

So, $135\ ft^3$ of concrete will required.