A cube has a surface area of 16 square yards. What is the length of a side?

How it can be 5 yrd ?

Question

A cube has a surface area of 16  square yards. What is the length of a side?

How it can be 5 yrd ?

jkristia · Answer

I get $$x \approx 1.6329$$

jkristia · Answer

$$A = 6(length^2)$$

faman39 · Answer

a. 5yd 
b. 12.5 yd
c. 25 yd
d. 37.3 yd

faman39 · Answer

correct one 5yd but dont know how

jkristia · Answer

that is strange, and you are sure it is A=16, not 150? (which is 5)

apoorvk · Answer

how can it ever be 5yds? 

surface area of cube of edge 'a' is - (no. of faces) x (surface area of each face)
=6*(a^2)

faman39 · Answer

sorry it was 150

faman39 · Answer

i wrote that wrong, sorry abt that

apoorvk · Answer

so,
if side edge is 'a'

$$16 = 6a^2$$
$$or, a^2 = \frac {16}{6} = \frac 8 3 $$
$$or, a = \sqrt {\frac 8 3 }$$

apoorvk · Answer

You mean '150' instead of '16'?

faman39 · Answer

so we dont have to divide 8/3

apoorvk · Answer

Nope, then we have some thing like this:


so,
if side edge is 'a'

$$'50' =6a^2$$

$$or,a^2=\frac {150} 6=25$$

$$or,a=\sqrt{25}$$
$$or, a = 5$$


Pretty correct, I guess?

apoorvk · Answer

sorry, the first line would read '150' and NOT '50' - typo.

faman39 · Answer

:)

apoorvk · Answer

:))