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?

Short answer

The weight of water is$0.56$ metric ton.

Step-by-step solution

Step 1. Given information.

A figure provided in the question,

Step 2. Determine the weight.

Firstly, find the volume of the first brick,

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

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