Question

1. for a construction project, a concrete slab needs to be poured that is 20 cm thick, 10 meters long, and 8 meters wide. what is the volume of concrete needed in cubic meters?

a. 1.6 cubic meters
b. 8 cubic meters
c. 160 cubic meters
d. 16 cubic meters

Explanation:

Step1: Convert units

Convert \(20\ cm\) to meters. Since \(1\ m = 100\ cm\), then \(20\ cm=\frac{20}{100}m = 0.2m\)

Step2: Use the volume formula

The volume \(V\) of a rectangular - prism (concrete slab) is given by \(V=l\times w\times h\), where \(l = 10m\) (length), \(w = 8m\) (width), and \(h=0.2m\) (height or thickness)

Substitute the values into the formula: \(V = 10\times8\times0.2\)

Step3: Calculate the volume

First, \(10\times8=80\), then \(80\times0.2 = 16\)

So the volume of concrete needed is \(16\) cubic meters.

Answer:

d. 16 cubic meters