Question

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

How many cubic feet of concrete are required?
A) 60 cubic feet
B) 81 cubic feet
C) 108 cubic feet
D) 135 cubic feet

Answer 1

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

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* w* h\\V_1=9* 6* 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* w* h\\V_2=6* 6* 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.

Answer 2

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

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.