Question

A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?

Answer 1

3 3/5

Explanation:

covert mixed fractions to improper fractions

2 2/3 becomes 8/3

1 1/8 becomes 9/8

1 1/5 become 6/5

then you multiply across will give you 432/120

since the numerator os greater than the demoninator, you have to divide 432

into 120 which then will give you 3 72/120. When you simplify the fraction the final answer is 3 3/5.

Answer 2

V = 3.6 ft³

Explanation:

The formula of a volume of rectangular prism:

`V=lwh`

l - length

w - width

h - height

We have

`l=2(2)/(3)\ ft=((2)(3)+2)/(3)\ ft=(8)/(3)\ dt\\\\w=1(1)/(8)\ ft=((1)(8)+1)/(8)\ ft=(9)/(8)\ ft\\\\h=1(1)/(5)\ ft=((1)(5)+1)/(5)\ ft=(6)/(5)\ ft`

Substitute:

`V=\left((8)/(3)\right)\left((9)/(8)\right)\left((6)/(5)\right)=(432)/(120)=3.6\ ft^3`