Question

If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 212 feet long and 112 feet wide?

Answer 1

Answer:

You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide

Step-by-step explanation:

The complete question is

Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain

step 1

Find the length side of the cube-shaped case

we know that

The volume of the cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$V=1,000\ in^3$

substitute

$1,000=b^3$

solve for b

$b=10\ in$

step 2

Convert feet to inches

$1\ ft=12\ in$

we have

$2\frac{1}{2}\ ft=2.5 (12)=30\ in$

$1\frac{1}{2}\ ft=1.5 (12)=18\ in$

step 3

Compare the dimensions of the table with the dimensions of the cube-shaped case

30 > 10

The length of the table is greater than the length side of the cube

18> 10

The width of the table is greater than the length side of the cube

therefore

You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide