Q27. - Geometry

Question

Find the weight to the nearest kilogram, of the cement block shown. Cement weighs 1700 kg/m³?

Step-by-Step Solution

Answer

The weight of cement block is$19\text{\hspace{0.17em}\hspace{0.17em}kg}$ .

Step 1. Given information.

A figure provided in the question,

Step 2. Determine the weight.

Firstly, find the volume of the first brick,

$\begin{array}{c}v=40\times 20\times 20\\ =16000{\text{\hspace{0.17em}\hspace{0.17em}cm}}^3\text{ [multiply]}\end{array}$

 

And the volume of upper,

 $\begin{array}{c}v=12\times 10\times 20\\ =2400\text{ [simplify]}\end{array}$

Then the volume of actual block is,

$\begin{array}{c}v=16000-2\left(2400\right)\\ =11200{\text{\hspace{0.17em}\hspace{0.17em}cm}}^3\text{ [multiply and subtract]}\end{array}$

 

Thus, the weight of the block is,

$\begin{array}{c}w=\frac{11200}{1000000}\left(1700\right)\\ =19\text{kg [simplify]}\end{array}$