Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - 10.5 Volume and Surface Area - Exercise Set 10.5 - Page 656: 7

Answer

The volume of pyramid is\[56\text{ in}{{\text{.}}^{3}}\]

Work Step by Step

The dimensions of the base are 4in and 7in. The height of the pyramid is 6in. Firstly, compute the area of the base by multiplying the length and width using the equation as shown below: \[\begin{align} & \text{Area of base}\left( B \right)=\left( 4\times 7 \right)\text{ in}{{\text{.}}^{\text{2}}} \\ & =28\text{ in}{{\text{.}}^{\text{2}}} \end{align}\] Now, compute the volume of the pyramid using the equation as shown below: \[\begin{align} & \text{Volume of the Pyramid }\left( V \right)=\left( \frac{1}{3}\times 28\times 6 \right)\text{ in}{{\text{.}}^{3}} \\ & =56\text{ in}{{\text{.}}^{3}} \end{align}\]
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