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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 12: Q26. (page 479)

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

Expert verified

The weight of water is $0.56$ metric ton.

Step by step solution

01

Step 1. Given information.

A figure provided in the question,

02

Step 2. Determine the weight.

Firstly, find the volume of the first brick,

$\begin{matrix} v = \frac{1}{2} (40) (100 + 40) (200) \\ = 560000 {cm}^{3} [addandmultiply] \\ = 0.56 m^{3} [simplify] \end{matrix}$

Thus, the weight of the water is $0.56 m^{3}$ metric ton.

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Most popular questions from this chapter

A pyramid has a base area of 16 cm² and a volume of 32 cm². Find its height.

Accurately draw or construct a large equilateral triangle. Choose any point inside the triangle and carefully measure the distance x, y, z and h. Then find $x + y + z$ .

Refer to rectangular solids with dimensions l, w and h. Complete the following table.

$\begin{matrix} l \\ w & 8 \\ h & 5 \\ L.A. \\ T.A. \\ V & 360 \end{matrix}$

Refer to cubes with edges of length e. Complete the following table.

$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$

$\begin{matrix} e \\ T . A . \\ V & 64 \end{matrix}$

If the length, width and height of rectangular solid are all tripled, the lateral area is multiplied by ___, the total area is multiplied by ___, and the volume is multiplied by___.

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