Chapter 12.3, Problem 2ST1

To determine

To calculate: The lateral area, total area, and volume of each solid.

Answer to Problem 2ST1

The lateral area = 601 sq. units, total area = 849.12 sq. units, and volume = 849.12 cu. units

Explanation of Solution

Given information: Consider the given information,

Edge = 24units, Height = 13units

Formula used: Consider the given formula,

a = edge, h = height

Lateral area = $a^2+2a\sqrt{h^2+\frac{a^2}{4}}$

Total area = $a\sqrt{a^2+4h^2}$

Volume = $a^2\times \frac{h}{3}$

Calculation : Consider the given information the formula is,

Lateral area = ${(24)}^2+(2\times 24\sqrt{{(13)}^2+\frac{{(24)}^2}{4}})=601$ sq. units

Total area = $24\times \sqrt{{(24)}^2+4{(13)}^2}=849.12$ sq.units

Volume = ${(24)}^2\times \frac{13}{3}=2496$ cu. units