Chapter 12.3, Problem 1ST1

To determine

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

Answer to Problem 1ST1

The lateral area = 242 sq. units, total area = 322 sq. units, and volume = 360 cu. units

Explanation of Solution

Given information: Consider the given information,

Length = 10 units, Width = 8 units, Height = 4.5 units, $\pi \approx 3.14$

Formula used: Consider the given formula,

l = length, b = breadth, h = height

Lateral area = $2lh+2bh+ab$

Total area = $2lh+2bh+2ab$

Volume = $lbh$

Calculation : Consider the given information the formula is,

Lateral area = $(2\times 10\times 4.5)+(2\times 8\times 4.5+10\times 8)=242$ sq. units

Total area = $(2\times 10\times 4.5)+(2\times 8\times 4.5+2\times 10\times 8)=322$ sq. units

Volume = $10\times 8\times 4.5=360$ cu. units