Question

PLEASE HELP! ^^

A 300-page book is 10 inches long, 8 inches wide, and 3/4 inches tall. What is the volume of 100 pages of the book?

A. 20 in^3
B. 60 in^3
C. 188 in^3
D. 6,000 in^3

I think it's 600 and I think they made a typo but, help please.,

Answer 1

A.
`20\text{ in}^3`

Step-by-step explanation:

We have been given that a 300-page book is 10 inches long, 8 inches wide, and 3/4 inches tall. We are asked to find the volume of 100 pages of the book.

First of all, we will find the volume of whole book using volume of cuboid formula.

`\text{Volume of cuboid}=l\cdot w\cdot h`, where,

l = Length of cuboid,

w = Width of cuboid,

h = Height of cuboid.

Upon substituting our given values in volume formula we will get,

`\text{Volume of entire book}=10\text{ in}* 8\text{ in}* (3)/(4)\text{ in}`

`\text{Volume of entire book}=10\text{ in}* 2\text{ in}* 3\text{ in}`

`\text{Volume of entire book}=60\text{ in}^3`

Since there are 300 pages in entire book and 100 is 1/3 of 300, so the volume of 100 pages will be the 1/3 of the volume of entire book.

`\text{Volume of 100 pages}=\frac{60\text{ in}^3}{3}`

`\text{Volume of 100 pages}=20\text{ in}^3`

Therefore, the volume of 100 pages will be 20 cubic inches and option A is the correct choice.

Answer 2

The volume of 100 pages of the book is 20 in³.

Step-by-step explanation:
Since the book is rectangular, we use the formula for the volume of a rectangular prism: V = l*w*h.

Using the measurements of the book we have
V = 10*8*(3/4) = 80*(3/4) = 240/4 = 60 in³.

However, 100 out of 300 pages means we want 100/300 = 1/3 of the book: 60(1/3) = 60/3 = 20 in³.