Question

A fish tank holds 1.029 yd3 of water. What is this volume in cubic meters given that 1 m = 1.093 yd? (a) 1.062 m3 (b) 0.9414 m3 (c) 1.125 m3 (d) 0.7881 m3

Answer 1

d.
`0.7881 m^(3)`

Explanation:

Hello

i think I can help you with this, this is unit conversion problem.

Step 1

we need to know the equivalence between m3 and yd 3

`1 m = 1.093\ yd\\\\1m^(3)=(1.093yd)^(3) \\ \\1m^(3)=1.3057\ yd^(3) \\\\`

Step 1

using a rule of three convert 1.029 yd3 into m3 with problem data

`1m^(3)=1.3057\ yd^(3)\\ xm^(3)=1.029\ yd^(3)\\(1m^(3))/(1.3057\ yd^(3)) =(xm^(3))/(1.029\ yd^(3))`

now, isolating x

`(1.029\ yd^(3)* 1m^(3))/(1.3057\ yd^(3)) =x\\x=0.7881 m^(3)`

Have a great day