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

Answer:

d.$0.7881 m^{3}$

Step-by-step 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

$1m^{3}=1.3057\ yd^{3}\\ xm^{3}=1.029\ yd^{3}\\\frac{1m^{3}}{1.3057\ yd^{3}} =\frac{xm^{3}}{1.029\ yd^{3}}$

now, isolating x

$\frac{1.029\ yd^{3}* 1m^{3}}{1.3057\ yd^{3}} =x\\x=0.7881 m^{3}$

Have a great day