Question

a rectangular inflatable swimming pool is 2 ac{4}{5}" alt="\frac{4}{5}" align="absmiddle" class="latex-formula"> yards long, 2 yards wide, and $\frac{3}{5}$ yard tall. What is the volume of the pool? Round to the nearest tenth

Answer 1

Answer:

3.4 yd^3

Step-by-step 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

Answer 2

Answer: 3.4 yards cubed, after rounding.

Step-by-step 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:

$V = 2 * \frac{3}{5} * 2\frac{4}{5}$

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.

$V = \frac{2}{1} * \frac{3}{5} * \frac{14}{5}$

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

$V = \frac{2 * 3 * 14}{5 * 5}\\\\V = \frac{84}{25}\\\\\\V = 3.36$

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