Chapter 1.7, Problem 26PPS

a.

To determine

To calculate area.

Answer to Problem 26PPS

Total surface area of the figure=64.58 $f{t}^2$

Explanation of Solution

Given information:

  

Formula used:

Surface area of triangle = $\frac{1}{2}\times b\times h$

Where $b$ is breadth and $h$ is height.

Surface area of rectangle = $l\times b$

Where $b$ is breadth and $l$ is length.

Calculation:

Area of triangle,

  =$\frac{1}{2}\times b\times h$

Substituting the values,

  =$\frac{1}{2}\times 6.99\times 6.99$

So,

  =$\frac{48.86}{2}$

Area of triangle =24.43 $f{t}^2$

Area of rectangle,

  =$l\times b$

Converting the breadth into feet.

13.5 inches= $\frac{13.5}{12}$ feet

= 1.125ft

Substituting the values,

  =$6.99\times 13.125$

Area of rectangle = $7.86f{t}^2$

Total surface area of the figure=2 $\times$ Area of triangle + 2 $\times$ Area of rectangle

  =$2\times 24.43+2\times 7.86$

So,

= 48.86+15.72

Total surface area of the figure=64.58 $f{t}^2$

b.

To determine

To calculate volume.

Answer to Problem 26PPS

Volume of triangle prism= 27.48 $f{t}^3$

Explanation of Solution

Given information:

  

Formula used:

Volume of triangle prism = $\frac{1}{2}\times$ product of base, height and width.

Calculation:

Volume of triangle prism= $\frac{1}{2}\times$ product of base, height and width.

  =$\frac{1}{2}\times 6.99\times 6.99\times 1.125$

So,

  =$\frac{54.96}{2}$

Volume of triangle prism= 27.48 $f{t}^3$