 Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q4.

Expert-verified Found in: Page 478 ### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279 # Refer to rectangular solids with dimensions l, w and h. Complete the following table. $\begin{array}{cc}l& \\ w& 8\\ h& 5\\ \text{L.A.}& \\ \text{T.A.}& \\ V& 360\end{array}$

\begin{align} l & = 9\\w &= 8\\ h&=5\\L.A.&=170\\T.A. &= 314\\V&=360\end{align}

See the step by step solution

## Step 1. Given information.

The width and height of a rectangle are 8 and 5 respectively. And the volume is 360.

## Step 2. Write the concept.

The lateral area of the rectangle is given by:

$\text{L.A.}=\text{Perimeter}×\text{Height}$

The total area of the rectangle is given by:

$\text{T.A.}=\text{L.A.+}2\left(\text{Base}\right)$

The volume of rectangle is given by:

$\text{V}=l×w×h$

## Step 3. Determine the value.

Firstly, find the third dimension of the rectangle using the volume.

$\begin{array}{c}360=l×8×5\\ 360=l×40\\ l=\frac{360}{40}\\ l=9\text{\hspace{0.17em}\hspace{0.17em}unit}\end{array}$

Now.

$\begin{array}{c}\text{L.A.}=2\left(l+w\right)×h\\ =2\left(9+8\right)×5\\ =2\left(17\right)×5\\ =34×5\\ =170{\text{\hspace{0.17em}\hspace{0.17em}unit}}^{2}\end{array}$

And

$\begin{array}{c}\text{T.A.}=72\text{+}2\left(9×8\right)\\ =72\text{+}2\left(72\right)\\ =72\text{+144}\\ =216{\text{\hspace{0.17em}\hspace{0.17em}unit}}^{2}\end{array}$ ### Want to see more solutions like these? 