Rectangular Parallelepiped
A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 0.30 m, a rise of 0.18 m, and a length of 2.00 m. How much material was used in its
construction?
Answers
Given : A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 0.30 m, a rise of 0.18 m, and a length of 2.00 m.
To Find : How much material was used in its construction?
Solution:
Volume = Length x Tread * Rise
Step 1 - Rise/height = 0.18m
Volume = 2 x 0.3 x 0.18 = 0.108 m³
Step 2 Rise / height will become 2 times = 0.18 + 0.18 = 0.36 m
Volume = 2 x 0.3 x 0.36 = 0.216 m³
Step 3 : Rise / height will become 3 times = 0.18 + 0.18 + 0.18 = 0.54 m
Volume = 2 x 0.3 x 0.54 = 0.324 m³
For landing step Rise / height = 0.18 x 4 = 0.72 m
landing step Width is missing assuming 0.3 m same as tread
Volume of Landing step = 2 x 0.3 x 0.72 = 0.432 m³
Total Volume = 0.108 + 0.216 + 0.324 + 0.432
= 1.08 m³
material used in its construction = 1.08 m³
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