In the formula $P = \frac{2}{5} M l^3$, if $M$ is ... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

In the formula P = \frac{2}{5} M l^{3}, if M is a constant and P = 54 when l = 3, what is the value of P when l = 4 ?

Explanation	Calculations	Help
$We start with the given formula and note that "M is a constant" and "P = 54 when l = 3" .$	$P = \frac{2}{5} M l^{3}$
$We substitute "P = 54" and "l = 3" into the formula to solve for M.$	$54 = \frac{2}{5} M \times 3^{3} = \frac{2}{5} M \times 27 = \frac{54}{5} M M = 54 \times \frac{5}{54} M = 5$	Theory & Tactics Method Card EQUA1-A Click to view full details
$We then substitute M = 5 and "l = 4" back into the formula to find P.$	$P = \frac{2}{5} \times 5 \times 4^{3} = 2 \times 4^{3} = 2 \times 64 = 128$

Scroll horizontally to view all columns

C

In the formula P = \frac{2}{5} M l^{3}, if M is a constant and P = 54 when l = 3, what is the value of P when l = 4 ?

Explanation	Calculations	Help
$We start with the given formula and note that "M is a constant" and "P = 54 when l = 3" .$	$P = \frac{2}{5} M l^{3}$
$We substitute "P = 54" and "l = 3" into the formula to solve for M.$	$54 = \frac{2}{5} M \times 3^{3} = \frac{2}{5} M \times 27 = \frac{54}{5} M M = 54 \times \frac{5}{54} M = 5$	Theory & Tactics Method Card EQUA1-A Click to view full details
$We then substitute M = 5 and "l = 4" back into the formula to find P.$	$P = \frac{2}{5} \times 5 \times 4^{3} = 2 \times 4^{3} = 2 \times 64 = 128$

Scroll horizontally to view all columns

C