Chapter 12.1, Problem 2PSA

a.

To determine

To calculate: The lateral area of a right triangular prism with dimensions as l is 10, a is 3, b is 5 and c is 7.

Answer to Problem 2PSA

The lateral area of a right triangular prism is $150$ .

Explanation of Solution

Given information:

l =10, a = 3, b = 5 and c =7.

Formula used:

Area of rectangle: $A=l\times w$

l = length of rectangle

w = width of rectangle

Calculation:

  

  $\begin{array}{l}A({▭}_1)=l\times a=10\times 3=30\\ A({▭}_2)=l\times b=10\times 5=50\\ A({▭}_3)=l\times c=10\times 7=70\end{array}$

Lateral Area:

  $\begin{array}{l}A=A({▭}_1)+A({▭}_2)+A({▭}_3)\\ A=30+50+70\\ A=150\end{array}$

b.

To determine

To find: The lateral area of triangular prism which is right with dimensions as l is 14, a is 2, b is 3 and c is 4.

Answer to Problem 2PSA

The lateral area of a right triangular prism is $126$ .

Explanation of Solution

Given information:

l =14, a = 2, b = 3 and c =4.

Formula used:

Area of rectangle: $A=l\times w$

l = length of rectangle

w= width of rectangle

Calculation:

  

  $\begin{array}{l}A({▭}_1)=l\times a=14\times 2=28\\ A({▭}_2)=l\times b=14\times 3=42\\ A({▭}_3)=l\times c=14\times 4=56\end{array}$

Lateral Area:

  $\begin{array}{l}A=A({▭}_1)+A({▭}_2)+A({▭}_3)\\ A=28+42+56\\ A=126\end{array}$