Which expressions show the volume and the surface area of this cubed-shaped packing box?

Question

asked Sep 23, 2019 86.2k views

2 Answers

Olliezhu · Answer 1 · 2019-09-27T15:01:28+0000

Answer:

$V=((13)/(8))^(3)\ ft^(3)$ ,
$SA=6((13)/(8))^(2)\ ft^(2)$

Explanation:

we know that

The volume of a cube is equal to

V=b^(3)

The surface area of a cube is equal to

SA=6b^(2)

where b is the length side of the cube

In this problem we have

$b=1(5)/(8)\ ft$

Convert to an improper fraction

$b=1(5)/(8)=(1*8+5)/(8)=(13)/(8)\ ft$

Part 1) Find the volume

substitute the value of b in the formula

$V=((13)/(8))^(3)\ ft^(3)$

Part 2) Find the Surface area

substitute the value of b in the formula

$SA=6((13)/(8))^(2)\ ft^(2)$