Eram Figure A4 1. Exam Figure A4 gives the dimensions for the front exterior staps of the house. Given that each step is 9" high and 12" wide, how many cubic feet of concrete are necessary for
the steps?

18 ft³

Step-by-step explanation:

Consider the given figure showing the steps to consists of 3 rectangle prism or cuboid.

The cubic feet of concrete necessary = sum of the volume of the 3 cuboid/rectangular prism

Volume = l*w*h

Dimension of each cuboid:

Note that 1 ft = 12 inches

First cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 36 in = 36/12 = 3 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*3*0.75 = 9 ft³

Second cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 24 in = 24/12 = 2 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*2*0.75 = 6 ft³

Third cuboid:

Length (l) = 48 in = 48/12 = 4 ft

Width (w) = 12 in = 12/12 = 1 ft

Height (h) = 9 in = 9/12 = 0.75 ft

Volume = 4*1*0.75 = 3 ft³

Cubic feet of concrete necessary for the steps = 9 + 6 + 3 = 18 ft³