Question

directions: find the volume given each dimension.
circle the one that is different.
a. ( l = 15 mathrm{yd} ) ( w = 12 mathrm{yd} ) ( h = 4 \frac{4}{9} mathrm{yd} )
b. ( l = 4 \frac{4}{9} mathrm{yd} ) ( w = 2 \frac{1}{4} mathrm{yd} ) ( h = 90 mathrm{yd} )
c. ( b = 500 mathrm{yd}^{2} ) ( h = 1 \frac{3}{5} mathrm{yd} )

Explanation:

Step1: Calculate volume for a

Convert mixed number to improper fraction: $4\frac{4}{9} = \frac{40}{9}$. Volume formula: $V = lwh$.
$V_a = 15 \times 12 \times \frac{40}{9} = \frac{15 \times 12 \times 40}{9} = 800$ yd³.

Step2: Calculate volume for b

Convert mixed numbers: $4\frac{4}{9} = \frac{40}{9}$, $2\frac{1}{4} = \frac{9}{4}$. Volume formula: $V = lwh$.
$V_b = \frac{40}{9} \times \frac{9}{4} \times 90 = 10 \times 90 = 900$ yd³.

Step3: Calculate volume for c

Volume formula: $V = Bh$. Convert mixed number: $1\frac{3}{5} = \frac{8}{5}$.
$V_c = 500 \times \frac{8}{5} = 800$ yd³.

Answer:

b. $l=4\frac{4}{9}$yd, $w=2\frac{1}{4}$yd, $h=90$yd