Question

Lorie ordered a shed to hold her gardening supplies. The shed had a length of 12.25 ft, a width of 10 ft, and a height of eight and one fifth ft.

Determine the volume, V, using the formula V = lwh.

30.45 ft3
100.45 ft3
960.05 ft3
1,004.5 ft3

Answer 1

1,004.5 ft

Explanation:

Answer 2

`V= 1004.5 ft^(3)`

Explanation:

Annotate the values:

length of 12.25 ft; l= 12.25 ft

width of 10 ft; w= 10 ft

height of eight and one fifth ft; h=
`8+(1)/(5)ft`

Convert the height into an improper fraction:

`8+(1)/(5) =\\\\(8*(5)/(5)) +(1)/(5) =\\\\((40)/(5)) +(1)/(5) =\\\\(41)/(5)`

Now, substitute all the values into the formula and calculate:

`V=lwh\\\\V=(12.25)(10)((41)/(5) )\\\\V=(12.25*10*41)/(5) \\\\\\V=(5022.5)/(5) \\\\V= 1004.5 ft^(3)`

Result is read: "One thousand, and four point five cubic feet."