Q26. - Geometry

Question

A drinking trough for horses is a right trapezoidal prism with dimensions shown below. If it is filled with water, about how much will the water weigh?

Step-by-Step Solution

Answer

The weight of water is$0.56$  metric ton.

Step 1. Given information.

A figure provided in the question,

Step 2. Determine the weight.

Firstly, find the volume of the first brick,

$\begin{array}{c}v=\frac{1}{2}\left(40\right)(100+40)\left(200\right)\\ =560000{\text{cm}}^3\text{ [add and multiply]}\\ =0.56{\text{\hspace{0.17em}\hspace{0.17em}m}}^3\text{ [simplify]}\end{array}$

 

Thus, the weight of the water is $0.56{\text{\hspace{0.17em}\hspace{0.17em}m}}^3$metric ton.