Question

a rectangular inflatable swimming pool is 2
`(4)/(5)` yards long, 2 yards wide, and
`(3)/(5)` yard tall. What is the volume of the pool? Round to the nearest tenth

Answer 1

Answer: 3.4 yards cubed, after rounding.

Explanation:

To find the volume of a rectangular prism, use the following formula:

`V = wlh`, where w is the width, l is the length, and h is the height

Substitute the values given to you into the formula:

`V = 2 * (3)/(5) * 2(4)/(5)`

Simplify the mixed number by multiplying both the numerator and denominator of 2/1 by 5 to get 10/5 and add it to the fraction to get 14/5.

`V = (2)/(1) * (3)/(5) * (14)/(5)`

Now, multiply the numerators and denominators of the fractions and simplify:

`V = (2 * 3 * 14)/(5 * 5)\\\\V = (84)/(25)\\\\\\V = 3.36`

The volume is 3.36 yards cubed. Round to the nearest tenth to get 3.4 yards cubed.

Answer 2

3.4 yd^3

Explanation:

The volume is

V = l*w*h

V = 2 4/5 * 2 * 3/5

Changing the mixed number to an improper fraction

2 4/5 = ( 5*2+4)/5 = 14/5

V = 14/5 * 2 * 3/5

= 84/25

Changing back to a mixed number

3*25 = 75 with 9 left over

3 9/25

3.36 yd^3

To the nearest tenth

3.4 yd^3